Cremona's table of elliptic curves

5425 = 5² · 7 · 31

Field	Data	Notes
Atkin-Lehner	5+ 7- 31-	Signs for the Atkin-Lehner involutions
Class	5425h	Isogeny class
Conductor	5425	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	64512	Modular degree for the optimal curve
Δ	-402371826171875 = -1 · 513 · 73 · 312	Discriminant
Eigenvalues	2  1 5+ 7- -1 -3 -5 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-832258,291961269]	[a1,a2,a3,a4,a6]
Generators	[4074:5421:8]	Generators of the group modulo torsion
j	-4080168919667961856/25751796875	j-invariant
L	8.2678870132517	L(r)(E,1)/r!
Ω	0.47498268668072	Real period
R	1.4505593651265	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	86800y1 48825bp1 1085h1 37975d1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5425h1

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	1	+	-	-1	-3	-5	-2	8	-3	-	-2	0	6	-13	-6	-2	-2	4	-12	10	-15	-4	-8	9

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Quadratic twists for elliptic curve 5425h1

-4	-3	5	-7
86800y1	48825bp1	1085h1	37975d1

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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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