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	11760co	Isogeny class
Conductor	11760	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	991730245632000 = 216 · 3 · 53 · 79	Discriminant
Eigenvalues	2- 3- 5- 7-  0 -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2101920,-1173630732]	[a1,a2,a3,a4,a6]
Generators	[46686:515584:27]	Generators of the group modulo torsion
j	2131200347946769/2058000	j-invariant
L	5.99446252387	L(r)(E,1)/r!
Ω	0.12538498056812	Real period
R	7.9680762622828	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	1470m3 47040ec3 35280dy3 58800fd3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760co3

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	-4	2	-6	-8	-12	6	-12	-2	-8	0	-14	16	12	-6	-14

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Quadratic twists for elliptic curve 11760co3

-4	8	-3	5	-7
1470m3	47040ec3	35280dy3	58800fd3	1680k3

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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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