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	5928d	Isogeny class
Conductor	5928	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	-54098928 = -1 · 24 · 34 · 133 · 19	Discriminant
Eigenvalues	2+ 3+ -2 -2  2 13- -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-104,-507]	[a1,a2,a3,a4,a6]
Generators	[26:117:1]	Generators of the group modulo torsion
j	-7850060032/3381183	j-invariant
L	2.7045077566056	L(r)(E,1)/r!
Ω	0.73155460821432	Real period
R	0.30807767985213	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	11856n1 47424bd1 17784t1 77064o1	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 5928d1

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	2	-	-3	-	-3	2	5	1	9	1	-2	6	11	-1	-7	0	-14	8	-10	6	-1

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Quadratic twists for elliptic curve 5928d1

-4	8	-3	13	-19
11856n1	47424bd1	17784t1	77064o1	112632x1

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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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