  We present numerical simulations for the two-point correlation function and
the angular power spectrum of nucleons above 10^{19} injected by a discrete
distribution of sources following a simple approximation to the profile of the
Local Supercluster. We develop a method to constrain the number of sources
necessary to reproduce the observed sky distribution of ultra-high energy
cosmic rays, as a function of the strength of the large scale cosmic magnetic
fields in the Local Supercluster. While for fields B < 0.05 micro Gauss the
Supercluster source distribution is inconsistent with the data for any number
of sources, fields of strength B~0.3 micro Gauss could reproduce the observed
data with a number of sources around 10.
