  We report the first measurement of charged particle elliptic flow in Pb-Pb
collisions at 2.76 TeV with the ALICE detector at the CERN Large Hadron
Collider. The measurement is performed in the central pseudorapidity region
(|$\eta$|<0.8) and transverse momentum range 0.2< $p_{\rm T}$< 5.0 GeV/$c$. The
elliptic flow signal v$_2$, measured using the 4-particle correlation method,
averaged over transverse momentum and pseudorapidity is 0.087 $\pm$ 0.002
(stat) $\pm$ 0.004 (syst) in the 40-50% centrality class. The differential
elliptic flow v$_2(p_{\rm T})$ reaches a maximum of 0.2 near $p_{\rm T}$ = 3
GeV/$c$. Compared to RHIC Au-Au collisions at 200 GeV, the elliptic flow
increases by about 30%. Some hydrodynamic model predictions which include
viscous corrections are in agreement with the observed increase.
