An antenna for a magnetic resonance unit has a number of antenna rods arranged substantially regularly around an antenna axis, and being axially oriented relative to said antenna axis. Each antenna rod has two opposite ends with a central portion therebetween. The ends of each rod are electrically connected with the ends of at least one adjacent antenna rod by connecting elements oriented tangentially relative to the antenna axis. The rods are symmetrical relative to a plane of symmetry that proceeds perpendicularly relative to the antenna axis. Each point of each antenna rod defines a radial direction with the antenna axis, and the central portion defines a reference direction with respect to the antenna axis. Each radial direction forms a tangential angle with the reference direction, which is a non-constant function of the axial spacing of each point from the central portion of that rod.