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	25392g	Isogeny class
Conductor	25392	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	11264	Modular degree for the optimal curve
Δ	-7105722672 = -1 · 24 · 3 · 236	Discriminant
Eigenvalues	2+ 3-  2  0  4 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,353,3272]	[a1,a2,a3,a4,a6]
Generators	[19619238808:-132400609440:854670349]	Generators of the group modulo torsion
j	2048/3	j-invariant
L	7.8087152085768	L(r)(E,1)/r!
Ω	0.8993291932866	Real period
R	17.365643786209	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	12696j1 101568cm1 76176o1 48a4	Quadratic twists by: -4 8 -3 -23

Hecke Eigenvalues for elliptic curve 25392g1

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	0	4	-2	-2	-4	-	6	-8	-6	-6	4	0	2	-4	2	-4	-8	10	-8	-4	6	-2

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Quadratic twists for elliptic curve 25392g1

-4	8	-3	-23
12696j1	101568cm1	76176o1	48a4

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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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