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	11760t	Isogeny class
Conductor	11760	Conductor
∏ cp	10	Product of Tamagawa factors cp
deg	107520	Modular degree for the optimal curve
Δ	-140084664300000000 = -1 · 28 · 35 · 58 · 78	Discriminant
Eigenvalues	2+ 3- 5+ 7+ -2  5  4 -3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-16921,18021779]	[a1,a2,a3,a4,a6]
j	-363080704/94921875	j-invariant
L	2.6637836659774	L(r)(E,1)/r!
Ω	0.26637836659774	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5880r1 47040eu1 35280by1 58800i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11760t1

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
+	-	+	+	-2	5	4	-3	4	4	1	-1	6	1	-10	0	0	-6	15	6	-3	-9	-6	0	2

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Quadratic twists for elliptic curve 11760t1

-4	8	-3	5	-7
5880r1	47040eu1	35280by1	58800i1	11760n1

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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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