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
Δ	-740183506944000 = -1 · 224 · 3 · 53 · 76	Discriminant
Eigenvalues	2- 3- 5- 7-  0 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-10600,-1378252]	[a1,a2,a3,a4,a6]
Generators	[583:13818:1]	Generators of the group modulo torsion
j	-273359449/1536000	j-invariant
L	5.7626802096424	L(r)(E,1)/r!
Ω	0.21115289289307	Real period
R	4.5485841488966	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	1470d3 47040ee3 35280dx3 58800fc3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760cp3

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 11760cp3

-4	8	-3	5	-7
1470d3	47040ee3	35280dx3	58800fc3	240b3

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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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