Cremona's table of elliptic curves

4312 = 2³ · 7² · 11

Field	Data	Notes
Atkin-Lehner	2- 7- 11-	Signs for the Atkin-Lehner involutions
Conductor	4312	Conductor
Count	2	Number of curves in isogeny class
Curves	4312l1 4312l2	Curves in isogeny class
deg	1536	Modular degree for the optimal curve
Eigenvalues	2- -2 -4 7- 11- -2 -2 -8	Hecke eigenvalues for primes less than 20
L	2.998008850957	L(r)(E,1)/r!
r	2	Rank of the group of rational points
Twists	8624c 34496w 38808ba 107800q	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 4312l

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	-8	0	-6	-2	-10	-10	-8	-6	-6	6	2	-12	-8	2	-12	8	8	-12

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Quadratic twists for isogeny class 4312l

-4	8	-3	5	-7	-11
8624c	34496w	38808ba	107800q	4312k	47432l

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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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