LORELAI: Kill me and bury me with that bike.
RORY: What is it? A Harley?
LORELAI: That is a 2000 Indian, 80 horsepower, 5 speed close ratio Andrews transmission, and I want to get one.
Indian is a brand of American motorcycle, first produced from 1901 to 1953 in Springfield, Massachusetts, until the company went bankrupt. Initially made by the Hendee Manufacturing Company, their name was changed to the Indian Motorcycle Manufacturing Company in 1928.
The rights to the Indian name were acquired by a succession of companies after the bankruptcy. In 1998, the Indian Motorcycle Corporation of America was formed from a merger of nine different companies, and in 1999 they began making Indian motorcycles in Gilroy, California (a hint as to who is riding the bike). The company went bankrupt in 2003, but rights to the name have again been acquired by a succession of companies, and they are still being made.
Rory wonders if the motorcycle is a Harley-Davidson, often just called a Harley. Harley-Davidson have been making motorcycles since 1903, first manufactured in Milwaukee, Wisconsin; they are the main rival company to Indian. Rory clearly has far less knowledge of motorcycles than her mother, and possibly knows of Harleys through motorcycle-loving Dean, who may yearn for one of these Midwest-originating bikes.
Andrews makes parts for motorcycles, including transmissions, and have been supplying Harley-Davidson since 1972. They were also supplying Indian, at least in the early 2000s.
Lorelai’s lust for the motorycle explains why she was so worried that Rory would be attracted to a boy who rode one – she assumed it would be a case of like mother, like daughter. This soon turns out to be correct. In fact, Rory jumps on the back of her father’s bike with suspicious ease, making us wonder if Dean kept his promise to Lorelai to never let Rory on his motorcycle.