  Various properties of Jovian trojan asteroids such as composition, rotation
periods, and photometric amplitudes, or the rate of binarity in the population
can provide information and constraints on the evolution of the group and of
the Solar System itself. Here we present new photometric properties of 45
Jovian trojans from the K2 mission of the Kepler space telescope, and present
phase-folded light curves for 44 targets, including (11351) Leucus, one of the
targets of the Lucy mission. We extend our sample to 101 asteroids with
previous K2 Trojan measurements, then compare their combined amplitude- and
frequency distributions to other ground-based and space data. We show that
there is a dichotomy in the periods of Trojans with a separation at $\sim 100$
hr. We find that 25% of the sample are slow rotators (P$\geq$30 hr), which
excess can be attributed to binary objects. We also show that 32 systems can be
classified as potential detached binary systems. Finally, we calculate density
and rotation constraints for the asteroids. Both the spin barrier and fits to
strengthless ellipsoid models indicate low densities and thus compositions
similar to cometary and TNO populations throughout the sample. This supports
the scenario of outer Solar System origin for Jovian trojans.
