  Within the context of Magnetohydrodynamics (MHD), the properties of a
parallel shock do not depend on the field strength, as the field and the fluid
are disconnected for such a geometry. However, in the collisionless case, the
field can sustain a stable anisotropy in the downstream, triggering a departure
from the expected MHD behavior. In a recent work [A. Bret and R. Narayan, J.
Plasma Phys. \textbf{84}, 905840604 (2018)], a theoretical model was presented
allowing to derive the density ratio of a non-relativistic parallel
collisionless shock in an electron/positron plasma, as a function of the field.
Here we derive the entropy, pressure and temperature jumps stemming from this
model. It is found to offer a transition between a 3D and a 1D downstream for
the jumps in density, entropy, parallel temperature and parallel pressure.
