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	11760p	Isogeny class
Conductor	11760	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	4338819824640 = 210 · 3 · 5 · 710	Discriminant
Eigenvalues	2+ 3+ 5- 7-  4 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-16480,-802640]	[a1,a2,a3,a4,a6]
Generators	[-614:519:8]	Generators of the group modulo torsion
j	4108974916/36015	j-invariant
L	4.4461633250201	L(r)(E,1)/r!
Ω	0.4215875033332	Real period
R	5.2731203959645	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	5880bj4 47040gi3 35280br3 58800di3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760p3

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

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Quadratic twists for elliptic curve 11760p3

-4	8	-3	5	-7
5880bj4	47040gi3	35280br3	58800di3	1680f4

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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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