Cremona's table of elliptic curves

92575 = 5² · 7 · 23²

Field	Data	Notes
Atkin-Lehner	5+ 7- 23-	Signs for the Atkin-Lehner involutions
Class	92575q	Isogeny class
Conductor	92575	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	127734154660109375 = 56 · 74 · 237	Discriminant
Eigenvalues	1  0 5+ 7- -4 -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1635767,-804656734]	[a1,a2,a3,a4,a6]
Generators	[14630:377797:8]	Generators of the group modulo torsion
j	209267191953/55223	j-invariant
L	4.120230214945	L(r)(E,1)/r!
Ω	0.13349839951259	Real period
R	3.8579397097929	Regulator
r	1	Rank of the group of rational points
S	1.0000000003781	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3703a3 4025a3	Quadratic twists by: 5 -23

Hecke Eigenvalues for elliptic curve 92575q4

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
1	0	+	-	-4	-6	-2	-4	-	-2	-4	-2	-6	12	12	-10	0	-2	12	8	14	-8	-4	-6	-10

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Quadratic twists for elliptic curve 92575q4

5	-23
3703a3	4025a3

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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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