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	11760cp	Isogeny class
Conductor	11760	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	13824	Modular degree for the optimal curve
Δ	-1040883056640 = -1 · 216 · 33 · 5 · 76	Discriminant
Eigenvalues	2- 3- 5- 7-  0 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,1160,47060]	[a1,a2,a3,a4,a6]
Generators	[23:294:1]	Generators of the group modulo torsion
j	357911/2160	j-invariant
L	5.7626802096424	L(r)(E,1)/r!
Ω	0.6334586786792	Real period
R	1.5161947162989	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	1470d1 47040ee1 35280dx1 58800fc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760cp1

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
-	-	-	-	0	-2	-6	-4	0	-6	8	2	6	4	0	-6	0	10	4	0	-2	-8	12	-18	-2

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Quadratic twists for elliptic curve 11760cp1

-4	8	-3	5	-7
1470d1	47040ee1	35280dx1	58800fc1	240b1

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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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