Cremona's table of elliptic curves

69696 = 2⁶ · 3² · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 11-	Signs for the Atkin-Lehner involutions
Conductor	69696	Conductor
Count	4	Number of curves in isogeny class
Curves	69696ck1 69696ck2 69696ck3 69696ck4	Curves in isogeny class
deg	3686400	Modular degree for the optimal curve
Eigenvalues	2+ 3-  2  4 11- -2  2 -4	Hecke eigenvalues for primes less than 20
L	8.9564521138483	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	69696cn 34848cf 23232cf 6336bb	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for isogeny class 69696ck

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	2	4	-	-2	2	-4	0	6	-4	2	-6	4	-8	-6	-12	-10	4	0	-10	12	12	-10	18

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Quadratic twists for isogeny class 69696ck

-4	8	-3	-11
69696cn	34848cf	23232cf	6336bb

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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