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	5808r	Isogeny class
Conductor	5808	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	25344	Modular degree for the optimal curve
Δ	-284476528410624 = -1 · 214 · 34 · 118	Discriminant
Eigenvalues	2- 3+ -1 -4 11- -5  7  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-26176,1829632]	[a1,a2,a3,a4,a6]
Generators	[202:2178:1]	Generators of the group modulo torsion
j	-2259169/324	j-invariant
L	2.5664357619854	L(r)(E,1)/r!
Ω	0.53030352004095	Real period
R	0.40329667586517	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	726i1 23232do1 17424bs1 5808q1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 5808r1

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	-4	-	-5	7	0	0	7	8	-5	11	8	-4	-5	0	-2	-12	16	-6	-4	8	-17	-5

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Quadratic twists for elliptic curve 5808r1

-4	8	-3	-11
726i1	23232do1	17424bs1	5808q1

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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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