Exhibit 4.2


 


SPECIMEN CLASS A ORDINARY SHARE
CERTIFICATE


 


NUMBER SHARES


 


AURORA ACQUISITION CORP.

INCORPORATED UNDER THE LAWS OF THE CAYMAN ISLANDS


 


CLASS A ORDINARY SHARES


 


SEE REVERSE FOR

CERTAIN DEFINITIONS


 


CUSIP [●]


 


This certifies that [●] is the owner of


 


FULLY PAID AND NON-ASSESSABLE CLASS A
ORDINARY SHARES OF THE PAR VALUE OF US $0.0001 EACH OF AURORA ACQUISITION CORP. (THE "COMPANY")


 


subject to the Company's amended and
restated memorandum and articles of association, as the same may be amended from time to time, and transferable on the books of
the Company in person or by duly authorized attorney upon surrender of this certificate properly endorsed.


 


The Company will be forced to redeem
all of its Class A ordinary shares if it is unable to complete a business combination within the period set forth in the Company's
amended and restated memorandum and articles of association, as the same may be amended from time to time, all as more fully described
in the Company's final prospectus dated [●], 2021.


 


This certificate is not valid unless
countersigned by the Transfer Agent and registered by the Registrar.


 


Witness the facsimile signatures of its
duly authorized officers.


 


	Dated:	 	 	 
	 	 	 	 
	By:	 	 	 
	 	  Chief Executive Officer	 	  Chief Financial Officer







 








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Aurora Acquisition Corp.


 


The Company will furnish
without charge to each shareholder who so requests the powers, designations, preferences and relative, participating, optional
or other special rights of each class of shares or series thereof of the Company and the qualifications, limitations, or restrictions
of such preferences and/or rights. This certificate and the shares represented thereby are issued and shall be held subject to
all the provisions of the Company's amended and restated memorandum and articles of association, as the same may be amended from
time to time, and resolutions of the Board of Directors providing for the issue of Class A ordinary shares (copies of which
may be obtained from the secretary of the Company), to all of which the holder of this certificate by acceptance hereof assents.
The following abbreviations, when used in the inscription on the face of this certificate, shall be construed as though they were
written out in full according to applicable laws or regulations:


 


	TEN COM	---	as tenants in common	 	UNIF GIFT MIN ACT	---	 	Custodian	 
	 	 	 	 	 	 	(Cust)	 	(Minor)
	TEN ENT	---	as tenants by the entireties	 	 	 	 	 	 
	 
	JT TEN	---	as joint tenants with right of survivorship and not as tenants in common	 	
        under Uniform Gifts to Minors Act

        (State)

	 	 	 	 	 
	Additional abbreviations may also be used though not in the above list.







 






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For value received, [●] hereby sells,
assigns and transfers unto


 


(PLEASE INSERT SOCIAL SECURITY OR OTHER
IDENTIFYING NUMBER(S) OF ASSIGNEE(S))


 


(PLEASE PRINT OR TYPEWRITE NAME(S) AND
ADDRESS(ES), INCLUDING ZIP CODE, OF ASSIGNEE(S))


 


Shares represented by the within Certificate,
and does hereby irrevocably constitute and appoint Attorney to transfer the said shares on the books of the within named Company
with full power of substitution in the premises


 


	Dated:	                    	 	 
	 	 	 
	 	 	NOTICE: THE SIGNATURE(S) TO THIS ASSIGNMENT MUST CORRESPOND WITH THE NAME AS WRITTEN UPON THE FACE OF THE CERTIFICATE IN EVERY PARTICULAR, WITHOUT ALTERATION OR ENLARGEMENT OR ANY CHANGE WHATEVER.
	 	 	 
	Signature(s) Guaranteed:	 	 
	 	 	 
	THE SIGNATURE(S) MUST BE GUARANTEED BY AN ELIGIBLE GUARANTOR INSTITUTION (BANKS, STOCKBROKERS, SAVINGS AND LOAN ASSOCIATIONS AND CREDIT UNIONS WITH MEMBERSHIP IN AN APPROVED SIGNATURE GUARANTEE MEDALLION PROGRAM, PURSUANT TO S.E.C. RULE 17Ad-15 UNDER THE SECURITIES EXCHANGE ACT OF 1934, AS AMENDED (OR ANY SUCCESSOR RULE).	 	 


 


In each case, as more fully described in
the Company's final prospectus dated , 2021, the holder(s) of this certificate shall be entitled to receive a pro-rata portion
of certain funds held in the trust account established in connection with its initial public offering only in the event that (i) the
Company redeems the Class A ordinary shares sold in its initial public offering and liquidates because it does not consummate
an initial business combination within the period of time set forth in the Company's amended and restated memorandum and articles
of association, as the same may be amended from time to time, (ii) the Company redeems the Class A ordinary shares sold
in its initial public offering in connection with a shareholder vote to amend the Company's amended and restated memorandum and
articles of association (A)  to modify the substance or timing of the Company's obligation to provide holders of the Class A
ordinary shares the right to have their shares redeemed in connection with the Company's initial business combination or to redeem
100% of the Class A ordinary shares if the Company does not complete its initial business combination within the time period
set forth therein or (B) with respect to any other provision relating to the rights of holders of the Class A ordinary
shares, or (iii) if the holder(s) seek(s) to redeem for cash his, her, its or their respective Class  A ordinary
shares in connection with a tender offer (or proxy solicitation, solely in the event the Company seeks shareholder approval of
the proposed initial business combination) setting forth the details of a proposed initial business combination. In no other circumstances
shall the holder(s) have any right or interest of any kind in or to the trust account.


 



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