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	5928b	Isogeny class
Conductor	5928	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	7680	Modular degree for the optimal curve
Δ	-24036569856 = -1 · 28 · 34 · 132 · 193	Discriminant
Eigenvalues	2+ 3+ -3 -1 -5 13+ -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5697,167589]	[a1,a2,a3,a4,a6]
Generators	[-67:494:1] [-63:522:1]	Generators of the group modulo torsion
j	-79891143083008/93892851	j-invariant
L	3.8364961079707	L(r)(E,1)/r!
Ω	1.1941518164455	Real period
R	0.066932027526714	Regulator
r	2	Rank of the group of rational points
S	0.99999999999982	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	11856j1 47424bu1 17784p1 77064p1	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 5928b1

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
+	+	-3	-1	-5	+	-3	-	-8	-8	-2	4	-6	-7	-7	4	4	7	2	-4	-1	-10	-12	-18	-8

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Quadratic twists for elliptic curve 5928b1

-4	8	-3	13	-19
11856j1	47424bu1	17784p1	77064p1	112632bb1

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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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