... becase I just bought a Le Coultre Chrono only three days ago, reference E2644, which also comes with a Valjoux 72.
It is completely different to yours anyway, made circa second half 1960´s, and no tachi bezel. Dial is sunburst light blue,with three white sub dials and case is 35mm diameter. I didn´t have time to take some pictures yet.
Very interesting to view your watch now. I´m not very knowledgeable of JLC watches, but I guess Le Coultre was the brand marketed by JLC in the USA?
Thank you again! Receive my best cordial regards, Abel.