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	11760bc	Isogeny class
Conductor	11760	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	-46099200 = -1 · 28 · 3 · 52 · 74	Discriminant
Eigenvalues	2+ 3- 5- 7+ -4 -5  6  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-65,363]	[a1,a2,a3,a4,a6]
Generators	[6:15:1]	Generators of the group modulo torsion
j	-50176/75	j-invariant
L	5.720922762151	L(r)(E,1)/r!
Ω	1.8136373163154	Real period
R	1.5771959229902	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	5880w1 47040dx1 35280y1 58800l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760bc1

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	-5	6	5	-2	-2	9	-11	-8	-1	-6	-4	-6	-14	1	-12	11	-1	4	18	-18

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Quadratic twists for elliptic curve 11760bc1

-4	8	-3	5	-7
5880w1	47040dx1	35280y1	58800l1	11760h1

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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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