  We construct the first eleven-dimensional supergravity solutions, which are
regular, have no smearing and possess only SO(2,4) x SO(3) x U(1)_R isometry.
They are dual to four-dimensional field theories with N = 2 superconformal
symmetry. We utilise the Toda frame of self-dual four-dimensional Euclidean
metrics with SU(2) rotational symmetry. They are obtained by transforming the
Atiyah--Hitchin instanton under SL(2,R) and are expressed in terms of theta
functions. The absence of any extra U(1) symmetry, even asymptotically, renders
inapplicable the electrostatic description of our solution.
