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	5808bf	Isogeny class
Conductor	5808	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	11520	Modular degree for the optimal curve
Δ	3831333715968 = 216 · 3 · 117	Discriminant
Eigenvalues	2- 3-  2 -4 11-  6 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3912,372]	[a1,a2,a3,a4,a6]
j	912673/528	j-invariant
L	2.6585884139243	L(r)(E,1)/r!
Ω	0.66464710348107	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	726c1 23232de1 17424bz1 528j1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 5808bf1

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	-2	4	-4	-6	0	6	6	4	12	2	-12	14	-4	12	6	-4	4	10	-14

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Quadratic twists for elliptic curve 5808bf1

-4	8	-3	-11
726c1	23232de1	17424bz1	528j1

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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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