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The quantum concurrence of $SU(2) \otimes SU(2)$ spin-parity states is shownto be invariant under $SO(1,3)$ Lorentz boosts and $O(3)$ rotations when thedensity matrices are constructed in consonance with the covariant probabilisticdistribution of Dirac massive particles. Similar invariance properties areobtained for the quantum purity and for the trace of unipotent density matrixoperators. The reported invariance features -- obtained in the scope of the$SU(2) \otimes SU(2)$ corresponding to just one of the inequivalentrepresentations enclosed by the $SL(2,\mathbb{C})\otimes SL(2,\mathbb{C})$symmetry -- set a more universal and kinematical-independent meaning for thequantum entanglement encoded in systems containing not only information aboutspin polarization but also the correlated information about intrinsic parity.Such a covariant framework is used for computing the Lorentz invariantspin-parity entanglement of spinorial particles coupled to a magnetic field,through which the extensions to more general Poincar\'e classes of spinorinteractions are straightforwardly depicted.

Lorentz Invariant Quantum Concurrence for SU(2) x SU(2) spin-parity states