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	25392l	Isogeny class
Conductor	25392	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	105984	Modular degree for the optimal curve
Δ	778097949752016 = 24 · 33 · 239	Discriminant
Eigenvalues	2+ 3-  2 -2  0  2 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-105447,13075920]	[a1,a2,a3,a4,a6]
Generators	[439920:381120:2197]	Generators of the group modulo torsion
j	4499456/27	j-invariant
L	6.9606951202014	L(r)(E,1)/r!
Ω	0.50698072634629	Real period
R	9.1531357551015	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	12696l1 101568cs1 76176u1 25392p1	Quadratic twists by: -4 8 -3 -23

Hecke Eigenvalues for elliptic curve 25392l1

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
+	-	2	-2	0	2	-6	-2	-	-6	0	4	2	6	4	6	0	-4	10	-8	-10	10	16	6	4

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Quadratic twists for elliptic curve 25392l1

-4	8	-3	-23
12696l1	101568cs1	76176u1	25392p1

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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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