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	25392bc	Isogeny class
Conductor	25392	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	1924570774265856 = 213 · 3 · 238	Discriminant
Eigenvalues	2- 3-  2 -2 -6 -2  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-266792,52909620]	[a1,a2,a3,a4,a6]
j	3463512697/3174	j-invariant
L	1.8592647580005	L(r)(E,1)/r!
Ω	0.46481618950016	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3174a2 101568ct2 76176ce2 1104i2	Quadratic twists by: -4 8 -3 -23

Hecke Eigenvalues for elliptic curve 25392bc2

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	-6	-2	0	0	-	6	-8	0	10	-12	8	-2	12	-4	-12	0	-10	-6	14	0	6

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Quadratic twists for elliptic curve 25392bc2

-4	8	-3	-23
3174a2	101568ct2	76176ce2	1104i2

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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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