To simplify installation of an electrochemical battery and an individual module into a battery box.

The electrochemical battery is equipped with a heat exchange unit and two or more electrochemical storage cells arranged in a line in at least two adjacent lines and arranged between the heat exchange units. The heat exchange unit has a heat exchange channel through which a temperature control medium flows, a circulation distribution channel, and a return flow recovery channel. The heat exchange unit is formed as a stand-alone unit inserted into the battery box together with the storage cell arranged between the heat exchange units.