Cremona's table of elliptic curves

944 = 2⁴ · 59

Field	Data	Notes
Atkin-Lehner	2- 59-	Signs for the Atkin-Lehner involutions
Class	944k	Isogeny class
Conductor	944	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	144	Modular degree for the optimal curve
Δ	-483328 = -1 · 213 · 59	Discriminant
Eigenvalues	2- -2 -2  3  1 -3  7 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-64,180]	[a1,a2,a3,a4,a6]
Generators	[2:8:1]	Generators of the group modulo torsion
j	-7189057/118	j-invariant
L	1.7643718251969	L(r)(E,1)/r!
Ω	2.9562562217319	Real period
R	0.14920660565775	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	118c1 3776p1 8496q1 23600w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 944k1

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	-2	3	1	-3	7	-4	-4	4	4	-7	-11	-9	-10	0	-	-2	-4	-9	-14	-11	13	18	2

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Quadratic twists for elliptic curve 944k1

-4	8	-3	5	-7	-11	-59
118c1	3776p1	8496q1	23600w1	46256bf1	114224w1	55696y1

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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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