Numerical studies were carried out to show that a regime implied as the standard or basic regime in the l = 2 torsatrons and heliotrons with no additional longitudinal magnetic field coils can be realized in the l = 2 torsatron with the aforementioned coils. The regime is characterized by a shift in the closed magnetic surface configuration inwards in the torus, by the transformation of the spatial magnetic axis into the planar axis and by close to minimum values of the field ripple at the magnetic surfaces. For the simulation model used, the main parameters of the magnetic surface are given at several values of the additional longitudinal magnetic field.