Cremona's table of elliptic curves

1444 = 2² · 19²

Field	Data	Notes
Atkin-Lehner	2- 19+	Signs for the Atkin-Lehner involutions
Class	1444a	Isogeny class
Conductor	1444	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	1026	Modular degree for the optimal curve
Δ	271737008656 = 24 · 198	Discriminant
Eigenvalues	2- -1 -1  0 -4 -1  3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-2286,34549]	[a1,a2,a3,a4,a6]
j	4864	j-invariant
L	0.9265025262895	L(r)(E,1)/r!
Ω	0.9265025262895	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5776h1 23104b1 12996j1 36100a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1444a1

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
-	-1	-1	0	-4	-1	3	+	5	7	4	10	-5	-5	-7	11	3	11	-3	11	15	-13	0	3	-5

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Quadratic twists for elliptic curve 1444a1

-4	8	-3	5	-7	-19
5776h1	23104b1	12996j1	36100a1	70756b1	1444b1

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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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