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	1249580109496320 = 215 · 33 · 5 · 710	Discriminant
Eigenvalues	2- 3- 5- 7-  0 -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-4516640,3693127668]	[a1,a2,a3,a4,a6]
Generators	[1228:78:1]	Generators of the group modulo torsion
j	21145699168383889/2593080	j-invariant
L	5.99446252387	L(r)(E,1)/r!
Ω	0.37615494170437	Real period
R	2.6560254207609	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	1470m4 47040ec5 35280dy5 58800fd5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760co4

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 11760co4

-4	8	-3	5	-7
1470m4	47040ec5	35280dy5	58800fd5	1680k4

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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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