We present a new supersymmetric, asymptotically flat, black hole solution to
five-dimensional supergravity. It is regular on and outside an event horizon of
lens space topology L(2,1). It is the first example of an asymptotically flat
black hole with lens space topology. The solution is characterised by a charge,
two angular momenta and a magnetic flux through a non-contractible disc region
ending on the horizon, with one constraint relating these.