Tempering element with fluid flowing through it and traction battery with housing-integrated tempering element with fluid flowing through it

The tempering element has a planar contact surface (13) which is provided with tempering regions. The planar support structures (12a,12b) made of aluminum are provided with several alternating ridges and beads in a cross section area. The tubular tempering fluid conduits (14a,14b) are arranged within the support structures. The support structures are connected with the tempering region provided in contact surface via alternating ridges. An independent claim is included for method for manufacturing tempering element.