Cremona's table of elliptic curves

25092 = 2² · 3² · 17 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 17- 41-	Signs for the Atkin-Lehner involutions
Class	25092i	Isogeny class
Conductor	25092	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	64320	Modular degree for the optimal curve
Δ	-2037029081904 = -1 · 24 · 37 · 175 · 41	Discriminant
Eigenvalues	2- 3-  3  1  0 -2 17- -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-66396,6585437]	[a1,a2,a3,a4,a6]
Generators	[163:306:1]	Generators of the group modulo torsion
j	-2775248968695808/174642411	j-invariant
L	6.8003575396592	L(r)(E,1)/r!
Ω	0.78487676813867	Real period
R	0.43321179933674	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	100368cd1 8364a1	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 25092i1

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	0	-2	-	-2	-8	2	-8	2	-	1	-3	-9	14	-4	10	6	6	-5	14	-3	7

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Quadratic twists for elliptic curve 25092i1

-4	-3
100368cd1	8364a1

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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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