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	25392w	Isogeny class
Conductor	25392	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	202752	Modular degree for the optimal curve
Δ	-162668068920557568 = -1 · 216 · 36 · 237	Discriminant
Eigenvalues	2- 3+  0  2  0  2  0  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-300648,66451824]	[a1,a2,a3,a4,a6]
Generators	[164:4640:1]	Generators of the group modulo torsion
j	-4956477625/268272	j-invariant
L	5.056162511626	L(r)(E,1)/r!
Ω	0.3190482617349	Real period
R	3.9619104051311	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	3174d1 101568dg1 76176bs1 1104g1	Quadratic twists by: -4 8 -3 -23

Hecke Eigenvalues for elliptic curve 25392w1

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

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Quadratic twists for elliptic curve 25392w1

-4	8	-3	-23
3174d1	101568dg1	76176bs1	1104g1

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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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