Cremona's table of elliptic curves

944 = 2⁴ · 59

Field	Data	Notes
Atkin-Lehner	2- 59-	Signs for the Atkin-Lehner involutions
Class	944j	Isogeny class
Conductor	944	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	56	Modular degree for the optimal curve
Δ	-944 = -1 · 24 · 59	Discriminant
Eigenvalues	2- -1  3  1 -6 -4 -6 -5	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-9,-8]	[a1,a2,a3,a4,a6]
Generators	[4:2:1]	Generators of the group modulo torsion
j	-5619712/59	j-invariant
L	2.3102708075359	L(r)(E,1)/r!
Ω	1.3648615265768	Real period
R	1.6926778010442	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	236b1 3776l1 8496s1 23600r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 944j1

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	3	1	-6	-4	-6	-5	0	9	4	-4	-9	-8	12	-9	-	2	-2	0	14	7	0	-6	2

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Quadratic twists for elliptic curve 944j1

-4	8	-3	5	-7	-11	-59
236b1	3776l1	8496s1	23600r1	46256bc1	114224t1	55696s1

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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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