We address the consequences of strong tensor terms in the local energy density functional, resulting from fits to the f_(5/2-f7/2) splittings in ~(40)Ca, ~(48)Ca, and ~(56)Ni. In this study, we focus on the tensor contribution to the nuclear binding energy. In particular, we show that it exhibits an interesting topological feature closely resembling that of the shell correction. We demonstrate that in the extreme single-particle scenario at spherical shape, the tensor contribution shows tensorial magic numbers equal to N(Z) = 14, 32, 56, and 90, and that this structure is smeared out due to configuration mixing caused by pairing correlations and migration of protoneutron sub-shells with neutron/proton shell filling. Based on a specific Skyrme-type functional SLy4T , we show that the proton tensorial magic numbers shift with increasing neutron excess to Z = 14, 28, and 50.
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