A measurement of the B s 0→ J/ψ ϕ decay parameters, updated to include flavor tagging is reported using 4.9 fb− 1 of integrated luminosity collected by the ATLAS detector from s= 7 TeV p p collisions recorded in 2011 at the LHC. The values measured for the physical parameters are ϕ s= 0.12±0.25 (stat)±0.05 (syst) rad Δ Γ s= 0.053±0.021 (stat)±0.010 (syst) ps− 1 Γ s= 0.677±0.007 (stat)±0.004 (syst) ps− 1| A∥(0)| 2= 0.220±0.008 (stat)±0.009 (syst)| A 0 (0)| 2= 0.529±0.006 (stat)±0.012 (syst) δ⊥= 3.89±0.47 (stat)±0.11 (syst) rad where the parameter Δ Γ s is constrained to be positive. The S-wave contribution was measured and found to be compatible with zero. Results for ϕ s and Δ Γ s are also presented as 68% and 95% likelihood contours, which show agreement with the Standard Model expectations.