Cremona's table of elliptic curves

25872 = 2⁴ · 3 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 11+	Signs for the Atkin-Lehner involutions
Class	25872s	Isogeny class
Conductor	25872	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	107520	Modular degree for the optimal curve
Δ	-15975002736 = -1 · 24 · 37 · 73 · 113	Discriminant
Eigenvalues	2+ 3- -3 7- 11+ -1  8 -7	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-166672,26134919]	[a1,a2,a3,a4,a6]
Generators	[233:63:1]	Generators of the group modulo torsion
j	-93303976999933696/2910897	j-invariant
L	5.0290180719297	L(r)(E,1)/r!
Ω	0.90970724905485	Real period
R	0.3948694230365	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	12936v1 103488gq1 77616cm1 25872h1	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 25872s1

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
+	-	-3	-	+	-1	8	-7	2	-1	-4	-3	6	-4	1	6	-3	14	7	-6	-11	4	-4	2	-16

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Quadratic twists for elliptic curve 25872s1

-4	8	-3	-7
12936v1	103488gq1	77616cm1	25872h1

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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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