We present a study of Jovian Trojan objects detected serendipitously during the course of a sky survey conducted at the University of Hawaii 2.2-meter telescope . We used a 8192 \times 8192 pixel charge-coupled device ( CCD ) mosaic to observe 20 deg ^ { 2 } at locations spread over the L4 Lagrangian swarm and reached a limiting magnitude V = 22.5 mag ( 50 % of maximum detection efficiency ) . Ninety-three Jovian Trojans were detected with radii 2 \leq r \leq 20 km ( assumed albedo 0.04 ) . Their differential magnitude distribution has a slope of 0.40 \pm 0.05 corresponding to a power law size distribution index 3.0 \pm 0.3 ( 1 \sigma ) . The total number of L4 Trojans with radii \geq 1 km is of order 1.6 \times 10 ^ { 5 } and their combined mass ( dominated by the largest objects ) is \sim 10 ^ { -4 } ~ { } M _ { Earth } . The bias-corrected mean inclination is 13.7 ^ { \circ } \pm 0.5 ^ { \circ } . We also discuss the size and spatial distribution of the L4 swarm .