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	5808v	Isogeny class
Conductor	5808	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	14023639233871872 = 214 · 3 · 1111	Discriminant
Eigenvalues	2- 3+ -4 -2 11- -4  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-19485880,-33101139344]	[a1,a2,a3,a4,a6]
Generators	[264548340:-12242986832:42875]	Generators of the group modulo torsion
j	112763292123580561/1932612	j-invariant
L	2.0768172657055	L(r)(E,1)/r!
Ω	0.071857077054821	Real period
R	14.451028004667	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	726e3 23232du3 17424cf3 528f3	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 5808v3

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	-2	-	-4	2	0	6	-10	8	-2	-2	4	2	4	0	8	12	-2	6	10	4	10	-2

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Quadratic twists for elliptic curve 5808v3

-4	8	-3	-11
726e3	23232du3	17424cf3	528f3

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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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