An electromagnetically actuated valve includes at least one sleeve, a magnet core arranged in a fixed manner in the at least one sleeve, a magnet armature configured to actuate a valve element and arranged so as to be axially movable, and an elastically deformable flat spring element held in a clampable manner between a core end face of the magnet core facing the magnet armature and an armature end face of the magnet armature facing the magnet core. The spring element is configured to form at least one contact point with the armature end face and the core end face. The core end face defines a stepped configuration in a radial extent having at least two successive steps.