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	25392i	Isogeny class
Conductor	25392	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	63360	Modular degree for the optimal curve
Δ	-29251584 = -1 · 211 · 33 · 232	Discriminant
Eigenvalues	2+ 3-  2 -1 -5  4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-196872,33556500]	[a1,a2,a3,a4,a6]
Generators	[258:60:1]	Generators of the group modulo torsion
j	-778918741604594/27	j-invariant
L	7.0647811418419	L(r)(E,1)/r!
Ω	1.1179912519427	Real period
R	0.52659782515929	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	12696b1 101568cp1 76176q1 25392m1	Quadratic twists by: -4 8 -3 -23

Hecke Eigenvalues for elliptic curve 25392i1

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	-1	-5	4	-2	0	-	-1	-3	4	0	2	-8	9	-7	4	8	10	-3	-3	-3	10	17

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Quadratic twists for elliptic curve 25392i1

-4	8	-3	-23
12696b1	101568cp1	76176q1	25392m1

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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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