Cremona's table of elliptic curves

5808 = 2⁴ · 3 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 3- 11-	Signs for the Atkin-Lehner involutions
Class	5808m	Isogeny class
Conductor	5808	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	16896	Modular degree for the optimal curve
Δ	-1440162425078784 = -1 · 210 · 38 · 118	Discriminant
Eigenvalues	2+ 3- -1  0 11- -1  3  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,27064,-621084]	[a1,a2,a3,a4,a6]
Generators	[40:726:1]	Generators of the group modulo torsion
j	9987164/6561	j-invariant
L	4.4555629932194	L(r)(E,1)/r!
Ω	0.27316908769105	Real period
R	0.3398050262934	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	2904c1 23232ct1 17424s1 5808l1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 5808m1

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	0	-	-1	3	0	-4	-1	0	-1	-9	-4	4	3	-12	14	-16	12	10	-4	0	-5	-5

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Quadratic twists for elliptic curve 5808m1

-4	8	-3	-11
2904c1	23232ct1	17424s1	5808l1

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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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