Cremona's table of elliptic curves

25992 = 2³ · 3² · 19²

Field	Data	Notes
Atkin-Lehner	2- 3- 19+	Signs for the Atkin-Lehner involutions
Class	25992y	Isogeny class
Conductor	25992	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	287280	Modular degree for the optimal curve
Δ	198096279310224 = 24 · 36 · 198	Discriminant
Eigenvalues	2- 3- -3  0  4 -5  5 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1378659,-623064701]	[a1,a2,a3,a4,a6]
Generators	[-3332391:43681:4913]	Generators of the group modulo torsion
j	1462911232	j-invariant
L	4.2818106366898	L(r)(E,1)/r!
Ω	0.13932702292917	Real period
R	5.1220150342103	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	51984n1 2888a1 25992n1	Quadratic twists by: -4 -3 -19

Hecke Eigenvalues for elliptic curve 25992y1

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
-	-	-3	0	4	-5	5	+	1	-3	4	2	5	-11	5	9	-13	-1	-5	-1	-9	17	-16	-3	-13

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Quadratic twists for elliptic curve 25992y1

-4	-3	-19
51984n1	2888a1	25992n1

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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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