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	5808f	Isogeny class
Conductor	5808	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	59864589312 = 210 · 3 · 117	Discriminant
Eigenvalues	2+ 3+ -2  4 11- -6 -6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-85224,9604608]	[a1,a2,a3,a4,a6]
j	37736227588/33	j-invariant
L	0.92755254659683	L(r)(E,1)/r!
Ω	0.92755254659683	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2904n3 23232dq4 17424u3 528b3	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 5808f4

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

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Quadratic twists for elliptic curve 5808f4

-4	8	-3	-11
2904n3	23232dq4	17424u3	528b3

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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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