<PAGE>

                                                                      EXHIBIT 31

                                 CERTIFICATION

     I, Mike Ulrich, certify that:

     1. I have reviewed this annual report on Form 10-K of LL&E Royalty Trust,
for which JPMorgan Chase Bank, N.A. acts as Trustee;

     2. Based on my knowledge, this annual report does not contain any untrue
statement of a material fact or omit to state a material fact necessary to make
the statements made, in light of the circumstances under which such statements
were made, not misleading with respect to the period covered by this annual
report;

     3. Based on my knowledge, the financial statements, and other financial
information included in this annual report, fairly present in all material
respects the financial condition, distributable income and changes in trust
corpus of the registrant as of, and for, the periods presented in this annual
report;

     4. I am responsible for establishing and maintaining disclosure controls
and procedures (as defined in Exchange Act Rules 13a-15(e) and 15d-15(e)) and
internal control over financial reporting (as defined in Exchange Act Rules
13a-15(c) and 15d-15(f)) or, for the registrant, or for causing such controls
and procedures to be established and maintained, and have:

          a) designed such disclosure controls and procedures, or caused such
     disclosure controls and procedures to be designed, to ensure that material
     information relating to the registrant, including its consolidated
     subsidiaries, is made known to me by others within those entities,
     particularly during the period in which this annual report is being
     prepared;

          b) designed such internal control over financial reporting, or caused
     such internal control over financial reporting to be designed under my
     supervision, to provide reasonable assurance regarding the reliability of
     financial reporting and the preparation of financial statements for
     external purposes in accordance with the basis of accounting described in
     Note 3;

          c) evaluated the effectiveness of the registrant's disclosure controls
     and procedures and presented in this report my conclusions about the
     effectiveness of the disclosure controls and procedures, as of the end of
     the period covered by this report based on such evaluation;

          d) disclosed in this report any change in the registrant's internal
     control over financial reporting that occurred during the registrant's most
     recent fiscal quarter that has materially affected or is reasonably likely
     to materially affect the registrant's internal control over financial
     reporting; and

     5. I have disclosed, based on my most recent evaluation, to the
registrant's auditors:

          a) all significant deficiencies and material weaknesses in the design
     or operation of internal control over financial reporting which are
     reasonably likely to adversely affect the registrant's ability to record,
     process, summarize and report financial information; and

          b) any fraud, whether or not material, that involves any persons who
     have a significant role in the registrant's internal control over financial
     reporting.

     6. I have indicated in this annual report whether or not there were
significant changes in internal controls or in other factors that could
significantly affect internal controls subsequent to the date of my most recent
evaluation, including any corrective actions with regard to significant
deficiencies and material weaknesses.

     In giving the certifications in paragraphs 4, 5 and 6, I have relied, to
the extent I consider reasonable, on information provided to me by the Working
Interest Owner and the Managing General Partner of LL&E Royalty Partnership, in
which the registrant owns a 99% interest.

<Table>
<S>                                      <C>
Date March 15, 2006                                  /s/ MIKE ULRICH
                                         ----------------------------------------
                                                       Mike Ulrich,
                                             Vice President and Trust Officer
                                                JPMorgan Chase Bank, N.A.
</Table>