Cremona's table of elliptic curves

11760 = 2⁴ · 3 · 5 · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7-	Signs for the Atkin-Lehner involutions
Class	11760cs	Isogeny class
Conductor	11760	Conductor
∏ cp	72	Product of Tamagawa factors cp
deg	10368	Modular degree for the optimal curve
Δ	-36578304000 = -1 · 213 · 36 · 53 · 72	Discriminant
Eigenvalues	2- 3- 5- 7- -3 -5  0  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-520,10100]	[a1,a2,a3,a4,a6]
Generators	[-10:120:1]	Generators of the group modulo torsion
j	-77626969/182250	j-invariant
L	5.7184087317062	L(r)(E,1)/r!
Ω	1.0251128813532	Real period
R	0.077476680803268	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	1470e1 47040el1 35280ei1 58800fw1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760cs1

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
-	-	-	-	-3	-5	0	5	9	0	-10	-1	-9	-8	3	-3	12	-8	-8	6	-2	-8	0	-6	-8

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Quadratic twists for elliptic curve 11760cs1

-4	8	-3	5	-7
1470e1	47040el1	35280ei1	58800fw1	11760bl1

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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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