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	-1168636602822656 = -1 · 212 · 1111	Discriminant
Eigenvalues	2-  1  1 -2 11- -4  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-20005,-1979309]	[a1,a2,a3,a4,a6]
Generators	[79470:1947253:125]	Generators of the group modulo torsion
j	-122023936/161051	j-invariant
L	3.3789664214029	L(r)(E,1)/r!
Ω	0.19134050194197	Real period
R	4.414860402148	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	121d2 7744y2 17424bv2 48400ca2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1936g2

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 1936g2

-4	8	-3	5	-7	-11
121d2	7744y2	17424bv2	48400ca2	94864cl2	176b2

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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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