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	11760z	Isogeny class
Conductor	11760	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	10752	Modular degree for the optimal curve
Δ	-29054597040 = -1 · 24 · 32 · 5 · 79	Discriminant
Eigenvalues	2+ 3- 5+ 7- -4  6 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,229,-8016]	[a1,a2,a3,a4,a6]
Generators	[20604:569654:27]	Generators of the group modulo torsion
j	2048/45	j-invariant
L	5.0648238786922	L(r)(E,1)/r!
Ω	0.57225064337547	Real period
R	8.8507089285508	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	5880d1 47040fj1 35280cp1 58800bh1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760z1

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

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Quadratic twists for elliptic curve 11760z1

-4	8	-3	5	-7
5880d1	47040fj1	35280cp1	58800bh1	11760r1

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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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