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	11760cc	Isogeny class
Conductor	11760	Conductor
∏ cp	60	Product of Tamagawa factors cp
deg	40320	Modular degree for the optimal curve
Δ	-8965418515200 = -1 · 28 · 35 · 52 · 78	Discriminant
Eigenvalues	2- 3- 5+ 7+  4  7 -6 -3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-23781,1410975]	[a1,a2,a3,a4,a6]
Generators	[-33:1470:1]	Generators of the group modulo torsion
j	-1007878144/6075	j-invariant
L	5.6811649016224	L(r)(E,1)/r!
Ω	0.73542815002692	Real period
R	0.12874960210626	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2940a1 47040ex1 35280fb1 58800ey1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760cc1

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	7	-6	-3	2	-2	-7	-7	-8	-5	-10	-8	-10	-6	-3	0	15	-1	-8	2	-10

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Quadratic twists for elliptic curve 11760cc1

-4	8	-3	5	-7
2940a1	47040ex1	35280fb1	58800ey1	11760by1

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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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