Cremona's table of elliptic curves

944 = 2⁴ · 59

Field	Data	Notes
Atkin-Lehner	2- 59-	Signs for the Atkin-Lehner involutions
Class	944h	Isogeny class
Conductor	944	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	-247463936 = -1 · 222 · 59	Discriminant
Eigenvalues	2-  1  1 -3 -2 -6 -2  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-400,-3308]	[a1,a2,a3,a4,a6]
Generators	[66:512:1]	Generators of the group modulo torsion
j	-1732323601/60416	j-invariant
L	2.6349557864029	L(r)(E,1)/r!
Ω	0.53256762653586	Real period
R	1.2369113588176	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	118b1 3776m1 8496o1 23600u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 944h1

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	-3	-2	-6	-2	5	-4	-5	-2	8	7	6	2	9	-	-8	2	-12	4	-5	-14	0	8

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Quadratic twists for elliptic curve 944h1

-4	8	-3	5	-7	-11	-59
118b1	3776m1	8496o1	23600u1	46256bd1	114224r1	55696p1

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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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