  We report on the J$\psi$ nuclear modification factor $R_{\rm AA}$ at
mid-rapidity ($|y|<0.9$) in Pb-Pb collisions at $\sqrt{s_{NN}}=$2.76 TeV
measured by ALICE. J$\psi$ candidates are reconstructed using their $e^+e^-$
decay channel. The kinematical coverage extends to zero transverse momentum
allowing the measurement of integrated cross sections. We show the centrality
dependence of the J$\psi$ $R_{\rm AA}$ at mid-rapidity compared to the results
from PHENIX at mid-rapidity and ALICE results at forward-rapidity. We also
discuss comparisons to calculations from theoretical models.
