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	11760x	Isogeny class
Conductor	11760	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-3952102855680 = -1 · 210 · 38 · 5 · 76	Discriminant
Eigenvalues	2+ 3- 5+ 7-  4 -6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,3904,19620]	[a1,a2,a3,a4,a6]
Generators	[16:294:1]	Generators of the group modulo torsion
j	54607676/32805	j-invariant
L	5.3062832109843	L(r)(E,1)/r!
Ω	0.47982373575864	Real period
R	0.69117610482976	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	5880u4 47040fm3 35280cr3 58800bd3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760x4

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

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Quadratic twists for elliptic curve 11760x4

-4	8	-3	5	-7
5880u4	47040fm3	35280cr3	58800bd3	240a4

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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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