A storage installation for a liquefied gas comprising a supporting structure and a sealed and thermally insulating tank arranged in the supporting structure, the tank comprising at least a first tank wall fixed to a first supporting wall of the supporting structure and a second tank wall fixed to a second supporting wall of the supporting structure, each tank all (1, 101) comprising at least one sealing membrane (4, 104) and at least one thermally insulating barrier (2, 102), the thermally insulating barrier (2, 102) being placed between the sealing membrane (4, 104) and the supporting structure, the first supporting wall forming a corner with the second supporting wall along an edge, the sealing membrane of the first tank wall including a plurality of metal plates, in which the sealing membrane includes a plurality of strakes parallel to a longitudinal direction perpendicular or oblique to said edge, each strake including a plane central portion resting on an upper surface of the thermally insulating barrier and two raised edges projecting toward the interior of the tank relative to the central portion, the strakes being juxtaposed in accordance with a repeated pattern and welded together in sealed manner at the level of the raised edges, in which the thermally insulating barrier of the first tank wall comprises an insulating fixing beam anchored to the first supporting wall and having a length extending parallel to the edge, the insulating fixing beam including an upper face maintained at a distance from the first supporting wall by a plurality of shear webs, the shear webs being situated between the upper face and the first supporting wall and oriented perpendicularly to the edge, the insulating fixing beam including an insulating packing arranged between the shear webs, and in which the supporting structure comprises an abutment device projecting from the first supporting wall in the direction of the interior of the tank, the abutment device having a length extending parallel to the edge, the abutment device being placed along an edge of the insulating fixing beam opposite the edge and being configured to form an abutment limiting the movement of the insulating fixing beam in a direction away from the second tank wall characterized in that the tank comprises a corner insulation block situated in line with the thermally insulating barrier of the first tank wall and the thermally insulating barrier of the second tank wall at the level of the edge, the corner insulation block being configured to ensure the continuity of the thermally insulating barrier of the first tank wall and of the thermally insulating barrier of the second tank wall at the level of the edge of the supporting structure, the insulation fixing beam is juxtaposed to the corner insulation block, and the insulating fixing beam also includes a metal covering element comprising a plane portion forming the upper face, an end edge of the sealing membrane of the first tank wall being welded to the plane portion of the metal covering element,. in which the sealing membrane includes a plurality of strakes parallel to a longitudinal direction perpendicular or oblique to said edge, each strake including a plane central portion resting on an upper surface of the thermally insulating barrier and two raised edges projecting toward the interior of the tank relative to the central portion, the strakes being juxtaposed in accordance with a repeated pattern and welded together in sealed manner at the level of the raised edges, in which the thermally insulating barrier of the first tank wall comprises an insulating fixing beam anchored to the first supporting wall and having a length extending parallel to the edge, the insulating fixing beam including an upper face maintained at a distance from the first supporting wall by a plurality of shear webs, the shear webs being situated between the upper face and the first supporting wall and oriented perpendicularly to the edge, the insulating fixing beam including an insulating packing arranged between the shear webs, and in which the supporting structure comprises an abutment device projecting from the first supporting wall in the direction of the interior of the tank, the abutment device having a length extending parallel to the edge, the abutment device being placed along an edge of the insulating fixing beam opposite the edge and being configured to form an abutment limiting the movement of the insulating fixing beam in a direction away from the second tank wall characterized in that the tank comprises a corner insulation block situated in line with the thermally insulating barrier of the first tank wall and the thermally insulating barrier of the second tank wall at the level of the edge, the corner insulation block being configured to ensure the continuity of the thermally insulating barrier of the first tank wall and of the thermally insulating barrier of the second tank wall at the level of the edge of the supporting structure, the insulation fixing beam is juxtaposed to the corner insulation block, and the insulating fixing beam also includes a metal covering element comprising a plane portion forming the upper face, an end edge of the sealing membrane of the first tank wall being welded to the plane portion of the metal covering element,.