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	25392w	Isogeny class
Conductor	25392	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-2.7196494525306E+20	Discriminant
Eigenvalues	2- 3+  0  2  0  2  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1603752,135314928]	[a1,a2,a3,a4,a6]
Generators	[32316788:9920468480:343]	Generators of the group modulo torsion
j	752329532375/448524288	j-invariant
L	5.056162511626	L(r)(E,1)/r!
Ω	0.1063494205783	Real period
R	11.885731215393	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3174d3 101568dg3 76176bs3 1104g3	Quadratic twists by: -4 8 -3 -23

Hecke Eigenvalues for elliptic curve 25392w3

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

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Quadratic twists for elliptic curve 25392w3

-4	8	-3	-23
3174d3	101568dg3	76176bs3	1104g3

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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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