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	5928i	Isogeny class
Conductor	5928	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	-35568 = -1 · 24 · 32 · 13 · 19	Discriminant
Eigenvalues	2+ 3- -4  0 -4 13-  3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,0,9]	[a1,a2,a3,a4,a6]
Generators	[0:3:1]	Generators of the group modulo torsion
j	-256/2223	j-invariant
L	3.5642469006135	L(r)(E,1)/r!
Ω	2.9355647636944	Real period
R	0.30354013516363	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	11856g1 47424p1 17784r1 77064z1	Quadratic twists by: -4 8 -3 13

Hecke Eigenvalues for elliptic curve 5928i1

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
+	-	-4	0	-4	-	3	+	7	-6	7	3	-3	1	-2	0	-1	7	-5	0	2	-10	-12	-2	5

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Quadratic twists for elliptic curve 5928i1

-4	8	-3	13	-19
11856g1	47424p1	17784r1	77064z1	112632o1

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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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