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
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,-15140165,-22679876749]	[a1,a2,a3,a4,a6]
Generators	[34224983986430:21328167502260157:88121125]	Generators of the group modulo torsion
j	-52893159101157376/11	j-invariant
L	3.3789664214029	L(r)(E,1)/r!
Ω	0.038268100388394	Real period
R	22.07430201074	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	121d3 7744y3 17424bv3 48400ca3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1936g3

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 1936g3

-4	8	-3	5	-7	-11
121d3	7744y3	17424bv3	48400ca3	94864cl3	176b3

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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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