This was the final issue Golden Age of All-Star Comics featuring the Justice Society of America. With issue 58 the magazine became All-Star Western and the JSA were not seen in operation again for 12 years. Ironically this final adventure was called "The Mystery of the Vanishing Detectives."
The story was finally reprinted in 2000 as part of a special one-off that DC published as a "what might have been" issue...
JUSTICE SOCIETY OF AMERICA 100-PAGE SUPER-SPECTACULAR
#1 (1975) REPLICA EDITION
Written by John Broome, Robert Kanigher, Gardner
Fox, and various;
art by Murphy Anderson, Carmine Infantino,
Joe Giella, Sal Amendola, and various
A "lost" Spectacular reprinting some of the
greatest stories of the heroes of the Justice Society of America!
Showcasing stories from both the Silver and
Golden Ages, this is the JSA Super-Spectacular that might have been if
one had been assembled in 1975.
With the monthly JSA thrilling readers with
the exploits of today's inheritors of the Original Super-Team's legacy,
a facsimile edition simulates a "lost" team's inspiration in JUSTICE SOCIETY
OF AMERICA 100-PAGE SUPER-SPECTACULAR #1 (1975)
Included
within are the JSA's last story from the Golden Age, "The Mystery of the
Vanishing Detectives," from ALL STAR COMICS #57; the team's first Silver
Age appearance, "Vengeance of the Immortal Villain," from THE FLASH (1st
series) #137; and a 1948 Doctor Mid-Nite story, "The Sight Stealers!" that
didn't appear in print until it was inked -- in 1970 -- for ADVENTURE COMICS
#418. Rounding out the collection are "The Big Super-Hero Hunt" from THE
BRAVE AND THE BOLD #62, featuring the original Starman and Black
Canary and guest-starring Wildcat; and the first original Jay Garrick backup
story from the modern age, "Finale for a Fiddler," from 1970's THE FLASH
(1st series) #201.