Cremona's table of elliptic curves

944 = 2⁴ · 59

Field	Data	Notes
Atkin-Lehner	2+ 59+	Signs for the Atkin-Lehner involutions
Class	944c	Isogeny class
Conductor	944	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	48	Modular degree for the optimal curve
Δ	-120832 = -1 · 211 · 59	Discriminant
Eigenvalues	2+ -2  2 -1 -1 -1 -1  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,8,-12]	[a1,a2,a3,a4,a6]
Generators	[2:4:1]	Generators of the group modulo torsion
j	24334/59	j-invariant
L	1.9540124810861	L(r)(E,1)/r!
Ω	1.7116935680941	Real period
R	0.28539169006486	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	472c1 3776x1 8496i1 23600d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 944c1

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	-1	-1	-1	-1	0	0	-4	-4	3	-3	1	-10	-4	+	-6	-4	-13	-6	1	3	2	-10

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Quadratic twists for elliptic curve 944c1

-4	8	-3	5	-7	-11	-59
472c1	3776x1	8496i1	23600d1	46256t1	114224c1	55696i1

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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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