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	11760ct	Isogeny class
Conductor	11760	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-3986290713888000 = -1 · 28 · 32 · 53 · 712	Discriminant
Eigenvalues	2- 3- 5- 7- -6  4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,15860,-2933512]	[a1,a2,a3,a4,a6]
Generators	[863:25578:1]	Generators of the group modulo torsion
j	14647977776/132355125	j-invariant
L	5.7040106411664	L(r)(E,1)/r!
Ω	0.21772279499888	Real period
R	4.3664166639018	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2940f4 47040er4 35280er4 58800gi4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760ct4

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
-	-	-	-	-6	4	-6	2	0	6	-10	2	6	4	0	-12	0	-14	4	-6	4	16	-12	-6	16

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Quadratic twists for elliptic curve 11760ct4

-4	8	-3	5	-7
2940f4	47040er4	35280er4	58800gi4	1680l4

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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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