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	11760j	Isogeny class
Conductor	11760	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	988251600000000 = 210 · 3 · 58 · 77	Discriminant
Eigenvalues	2+ 3+ 5- 7-  0  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-32160,1635600]	[a1,a2,a3,a4,a6]
Generators	[-170:1470:1]	Generators of the group modulo torsion
j	30534944836/8203125	j-invariant
L	4.0960194948049	L(r)(E,1)/r!
Ω	0.46160360543452	Real period
R	1.1091820575549	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	5880l3 47040fv3 35280z3 58800ct3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760j4

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	-4	6	0	6	-6	4	8	14	-4	2	-12	12	-10	-8	-4	-6	14

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Quadratic twists for elliptic curve 11760j4

-4	8	-3	5	-7
5880l3	47040fv3	35280z3	58800ct3	1680e3

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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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