Strong gravitational lensing provides unique opportunities to investigate the mass distribution at the cores of galaxy clusters and to study high redshift galaxies. Using 110 strong lensing models of 74 cluster fields from the Hubble Frontier Fields (HFF), Reionization Lensing Cluster Survey (RELICS), and Sloan Giant Arcs Survey (SGAS), we evaluate the lensing strength of each cluster (area with |{mu}|>=3 for zs=9, normalized to a lens redshift of z=0.5). We assess how large scale mass, projected inner core mass, and the inner slope of the projected mass density profile relate to lensing strength. While we do not identify a strong correlation between lensing strength and large scale mass (Kendall {tau}=0.26 and Spearman r=0.36), we reveal that the inner slope (50kpc<=r~30.0'') radial extent of lensing evidence is a strong indicator of a powerful lens. We attribute the spread in the correlation to the complexity of individual lensing clusters, which is well captured by the lensing strength estimator. These results can help to more efficiently design future observations to use clusters as cosmic telescopes.

Cone search capability for table J/ApJ/928/87/table1 (All clusters included in this paper, separated by strong lensing programs (HFF, RELICS, and SGAS))