In this work we consider a left–right model containing mirror fermions with gauge group SU (3) C ⊗ SU (2) L ⊗ SU (2) R ⊗ U (1) Y′ . The model has several free parameters which here we have calculated by using the recent values for the squared-neutrino mass differences. Lower bound for the mirror vacuum expectation value helped us to obtain crude estimations for some of these parameters. Also we estimate the order of magnitude of the masses of the standard and mirror neutrinos and numerical values for neutrino mixing angles.