  The pairing structure of superconducting materials is regulated by the point
group symmetries of the crystal. Here, we study spin-singlet multiorbital
superconductivity in materials with unusually low crystalline symmetry content
and unveil the the appearance of even-parity (s-wave) Cooper pairs with high
orbital moment. We show that the lack of mirror and rotation symmetries makes
pairing states with quintet orbital angular momentum symmetry-allowed. A
remarkable fingerprint of this type of pairing state is provided by a
nontrivial superconducting phase texture in momentum space with $\pi$-shifted
domains and walls with anomalous phase winding. The pattern of the quintet
pairing texture is shown to depend on the orientation of the orbital
polarization and the strength of the mirror and/or rotation symmetry breaking
terms. Such momentum dependent phase makes Cooper pairs with net orbital
component suited to design orbitronic Josephson effects. We discuss how an
intrinsic orbital dependent phase can set out anomalous Josephson couplings by
employing superconducting leads with nonequivalent breaking of crystalline
symmetry.
