The invention relates to an oil cooler (1), having a first and at least one second plate (2, 3) which are stacked one on top of the other along a stacking direction (S), and having at least one passage opening (5, 5a, 5b) which is provided in the first plate (2) and which serves for receiving a fastening element (6) by way of which the first plate (2) can be fastened to an installation wall (21), in particular of an oil filter module (20).