In S1E13, Lane tells Rory and Lorelai that she’s going to get a soda and asks if they want anything. Lorelai responds, “Yes, the night of my fourteenth birthday back so I could right the green, hot pant, roller disco outfit wrong, ugh.”
Hot pants are basically short shorts. Roller discos, popular in the 70’s and 80’s, were indoor skating rinks that played disco or pop music. Lorelai turned 14 in 1982, just past the peak of roller discos.