Cremona's table of elliptic curves

25392 = 2⁴ · 3 · 23²

Field	Data	Notes
Atkin-Lehner	2+ 3- 23-	Signs for the Atkin-Lehner involutions
Class	25392s	Isogeny class
Conductor	25392	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	7680	Modular degree for the optimal curve
Δ	-43877376 = -1 · 210 · 34 · 232	Discriminant
Eigenvalues	2+ 3- -3  4  0 -1 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,8,-316]	[a1,a2,a3,a4,a6]
Generators	[8:18:1]	Generators of the group modulo torsion
j	92/81	j-invariant
L	5.9978999318155	L(r)(E,1)/r!
Ω	0.94491523322776	Real period
R	0.79344417902534	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	12696h1 101568cv1 76176ba1 25392r1	Quadratic twists by: -4 8 -3 -23

Hecke Eigenvalues for elliptic curve 25392s1

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	4	0	-1	-2	0	-	-1	-8	-6	-5	12	12	9	8	-11	-12	0	-13	12	12	-15	-3

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Quadratic twists for elliptic curve 25392s1

-4	8	-3	-23
12696h1	101568cv1	76176ba1	25392r1

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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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