Cremona's table of elliptic curves

1444 = 2² · 19²

Field	Data	Notes
Atkin-Lehner	2- 19-	Signs for the Atkin-Lehner involutions
Class	1444c	Isogeny class
Conductor	1444	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	2160	Modular degree for the optimal curve
Δ	-228831165184 = -1 · 28 · 197	Discriminant
Eigenvalues	2- -2 -1 -3  5  4 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-7701,258583]	[a1,a2,a3,a4,a6]
Generators	[-51:722:1]	Generators of the group modulo torsion
j	-4194304/19	j-invariant
L	1.8577119189309	L(r)(E,1)/r!
Ω	0.99805304079486	Real period
R	0.15511132199375	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	5776p1 23104s1 12996n1 36100h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1444c1

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	-3	5	4	-3	-	8	2	-4	-10	-10	1	-1	4	-6	-13	12	-2	9	-8	-12	-12	8

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Quadratic twists for elliptic curve 1444c1

-4	8	-3	5	-7	-19
5776p1	23104s1	12996n1	36100h1	70756h1	76a1

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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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