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	92575u	Isogeny class
Conductor	92575	Conductor
∏ cp	108	Product of Tamagawa factors cp
deg	103016448	Modular degree for the optimal curve
Δ	-2.4688521279783E+23	Discriminant
Eigenvalues	1 -3 5+ 7- -1  2 -3  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-8108335942,281027518611091]	[a1,a2,a3,a4,a6]
Generators	[412622:1089739:8]	Generators of the group modulo torsion
j	-48181043296511332209/201768035	j-invariant
L	4.548709408565	L(r)(E,1)/r!
Ω	0.066339054998587	Real period
R	0.63488513086862	Regulator
r	1	Rank of the group of rational points
S	1.0000000022427	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18515c1 92575h1	Quadratic twists by: 5 -23

Hecke Eigenvalues for elliptic curve 92575u1

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	-3	+	-	-1	2	-3	4	-	10	-2	-2	10	0	-9	4	-10	10	10	-1	3	0	3	-14	5

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Quadratic twists for elliptic curve 92575u1

5	-23
18515c1	92575h1

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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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