Cremona's table of elliptic curves

5928 = 2³ · 3 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3- 13+ 19-	Signs for the Atkin-Lehner involutions
Class	5928g	Isogeny class
Conductor	5928	Conductor
∏ cp	60	Product of Tamagawa factors cp
deg	20160	Modular degree for the optimal curve
Δ	-63452037562992 = -1 · 24 · 36 · 133 · 195	Discriminant
Eigenvalues	2+ 3-  0  0 -4 13+  7 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-49908,4291929]	[a1,a2,a3,a4,a6]
Generators	[180:1083:1]	Generators of the group modulo torsion
j	-859256706676000000/3965752347687	j-invariant
L	4.6432675026739	L(r)(E,1)/r!
Ω	0.62458640510346	Real period
R	0.12390245941778	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	11856a1 47424r1 17784n1 77064s1	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 5928g1

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
+	-	0	0	-4	+	7	-	-1	-6	1	-7	-5	-11	10	0	-11	-1	13	-8	6	14	16	-6	-1

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Quadratic twists for elliptic curve 5928g1

-4	8	-3	13	-19
11856a1	47424r1	17784n1	77064s1	112632q1

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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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