Electric machine with improved cooling

An electric machine, comprising:

• a housing including a first hollow cylinder-shaped housing element having at least one section for guidance of a first cooling medium in a first axial direction, and a second hollow cylinder-shaped housing element in which the first hollow cylinder-shaped housing element is arranged;
• a hollow cylinder-shaped stator arranged in the first hollow cylinder-shaped housing element;
• a rotor arranged in the first hollow cylinder-shaped housing element and mounted in the stator for rotation about a rotational axis;
• and
• a heat exchanger cover arranged between the first housing element and the second housing element, said heat exchanger cover including at least one guide element which runs helically about the rotational axis, and pipes which extend axially and pass through the at least one guide element, said heat exchanger cover having at least one section for guidance of the first cooling medium between the pipes in a helical manner along the at least one guide element in a second axial direction which runs opposite to the first axial direction, said heat exchanger cover having at least one section for guidance of a second cooling medium through the pipes in an axial direction.