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	16	Product of Tamagawa factors cp
Δ	-104175063989606400 = -1 · 211 · 3 · 52 · 714	Discriminant
Eigenvalues	2+ 3- 5+ 7- -4  2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,117584,588020]	[a1,a2,a3,a4,a6]
Generators	[319:8406:1]	Generators of the group modulo torsion
j	746185003198/432360075	j-invariant
L	5.0891150605925	L(r)(E,1)/r!
Ω	0.20116539283962	Real period
R	6.3245409520437	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	5880t6 47040fh5 35280cj5 58800bf5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760y6

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 11760y6

-4	8	-3	5	-7
5880t6	47040fh5	35280cj5	58800bf5	1680d6

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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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