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	25392f	Isogeny class
Conductor	25392	Conductor
∏ cp	112	Product of Tamagawa factors cp
deg	473088	Modular degree for the optimal curve
Δ	-4169004688233508608 = -1 · 28 · 314 · 237	Discriminant
Eigenvalues	2+ 3-  0 -2  0  2 -8  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1538508,740537676]	[a1,a2,a3,a4,a6]
Generators	[-606:38088:1]	Generators of the group modulo torsion
j	-10627137250000/110008287	j-invariant
L	6.0707639789891	L(r)(E,1)/r!
Ω	0.24765448134242	Real period
R	0.87546568135723	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	12696a1 101568by1 76176a1 1104b1	Quadratic twists by: -4 8 -3 -23

Hecke Eigenvalues for elliptic curve 25392f1

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	-8	6	-	2	4	-6	10	6	0	-12	-4	10	-6	0	2	-6	0	12	-6

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Quadratic twists for elliptic curve 25392f1

-4	8	-3	-23
12696a1	101568by1	76176a1	1104b1

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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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