Cremona's table of elliptic curves

1936 = 2⁴ · 11²

Field	Data	Notes
Atkin-Lehner	2- 11-	Signs for the Atkin-Lehner involutions
Class	1936g	Isogeny class
Conductor	1936	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	-79819452416 = -1 · 212 · 117	Discriminant
Eigenvalues	2-  1  1 -2 11- -4  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-645,14771]	[a1,a2,a3,a4,a6]
Generators	[-26:121:1]	Generators of the group modulo torsion
j	-4096/11	j-invariant
L	3.3789664214029	L(r)(E,1)/r!
Ω	0.95670250970984	Real period
R	0.88297208042961	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	121d1 7744y1 17424bv1 48400ca1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1936g1

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
-	1	1	-2	-	-4	2	0	1	0	-7	3	8	-6	-8	-6	-5	-12	7	3	-4	-10	-6	15	-7

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Quadratic twists for elliptic curve 1936g1

-4	8	-3	5	-7	-11
121d1	7744y1	17424bv1	48400ca1	94864cl1	176b1

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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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