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Using our ingeniously designed new filter systems, we investigate themultiple stellar populations of the RGB and AGB in the GC M5. Our results arethe following. (1) Our cn_jwl index accurately traces the nitrogen abundancesin M5, while other color indices fail to do so. (2) We find bimodal CNdistributions both in the RGB and the AGB sequences, with the number ratiosbetween the CN-weak (CN-w) and the CN-strong (CN-s) of n(CN-w):n(CN-s) =29:71(+/- 2) and 21:79(+/- 7), respectively. (3) We also find the bimodalphotometric [N/Fe] distribution for M5 RGB stars. (4) Our cn_jwl-[O/Fe] andcn_jwl-[Na/Fe] relations show the clear discontinuities between the two RGBpopulations. (5) Although small, the RGB bump of the CN-s is slightly brighter,0.07 +/- 0.04 mag. If real, the difference in the helium abundance becomes\dy\=0.028$\pm$0.016, in the sense that the CN-s is more helium enhanced. (6)Very similar radial but different spatial distributions with comparable centerpositions are found for the two RGB populations. The CN-s RGB and AGB stars aremore elongated along the NW-SE direction. (7) The CN-s population shows asubstantial net projected rotation, while that of the CN-w population is nil.(8) Our results confirm the deficiency of the CN-w AGB stars previously notedby others. We show that it is most likely due to the stochastic truncation inthe outer part of the cluster. Finally, we discuss the formation scenario ofM5.

Multiple stellar populations of globular clusters from homogeneous Ca-Cn photometry. II. M5 (NGC 5904) and a new filter system