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	11760y	Isogeny class
Conductor	11760	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	1627057434240000 = 210 · 32 · 54 · 710	Discriminant
Eigenvalues	2+ 3- 5+ 7- -4  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-29416,58820]	[a1,a2,a3,a4,a6]
Generators	[-73:1350:1]	Generators of the group modulo torsion
j	23366901604/13505625	j-invariant
L	5.0891150605925	L(r)(E,1)/r!
Ω	0.40233078567924	Real period
R	3.1622704760218	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	5880t4 47040fh3 35280cj3 58800bf3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760y3

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

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Quadratic twists for elliptic curve 11760y3

-4	8	-3	5	-7
5880t4	47040fh3	35280cj3	58800bf3	1680d4

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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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