AIR FILTER ELEMENT

An air filter element has a filter medium body that has a wall to be flowed through by a fluid to be purified in a radial direction relative to a longitudinal axis of the filter medium body. The filter medium body has a first end face and an oppositely positioned second end face. The filter medium body has an elongate cross section shape with two oppositely positioned narrow sides and two oppositely positioned long sides connecting the two narrow sides. A cross section surface of the filter medium body tapers from the first end face toward the second end face. The two long sides each have an inwardly oriented radial constriction in a region of the narrow second end face, wherein, in a region of the first end face, the two long sides are formed without or at least approximately without the inwardly oriented radial constriction, respectively.