Cremona's table of elliptic curves

944 = 2⁴ · 59

Field	Data	Notes
Atkin-Lehner	2+ 59+	Signs for the Atkin-Lehner involutions
Class	944a	Isogeny class
Conductor	944	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	32	Modular degree for the optimal curve
Δ	-15104 = -1 · 28 · 59	Discriminant
Eigenvalues	2+  1 -1 -1  0 -2 -6 -3	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,4,-4]	[a1,a2,a3,a4,a6]
Generators	[2:4:1]	Generators of the group modulo torsion
j	21296/59	j-invariant
L	2.5461928917151	L(r)(E,1)/r!
Ω	2.0241263360251	Real period
R	0.62896096118074	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	472e1 3776u1 8496g1 23600a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 944a1

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	-1	0	-2	-6	-3	6	-3	4	-2	-5	0	-2	3	+	12	-4	0	-6	-15	14	12	6

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Quadratic twists for elliptic curve 944a1

-4	8	-3	5	-7	-11	-59
472e1	3776u1	8496g1	23600a1	46256p1	114224a1	55696e1

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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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