  We study the multifractal properties of the current distribution of the
three-dimensional random resistor network at the percolation threshold. For
lattices ranging in size from $8^3$ to $80^3$ we measure the second, fourth and
sixth moments of the current distribution, finding {\it e.g.\/} that
$t/\nu=2.282(5)$ where $t$ is the conductivity exponent and $\nu$ is the
correlation length exponent.
