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	5808s	Isogeny class
Conductor	5808	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	2880	Modular degree for the optimal curve
Δ	-2806152624 = -1 · 24 · 32 · 117	Discriminant
Eigenvalues	2- 3+  2 -2 11-  2 -4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,323,-1340]	[a1,a2,a3,a4,a6]
Generators	[180:2420:1]	Generators of the group modulo torsion
j	131072/99	j-invariant
L	3.5899007383496	L(r)(E,1)/r!
Ω	0.80091337592693	Real period
R	2.2411292196206	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	1452d1 23232dr1 17424by1 528e1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 5808s1

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	-2	-	2	-4	-6	0	8	8	10	-8	-2	8	-2	-12	-10	-12	-8	-6	-2	16	-14	-2

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Quadratic twists for elliptic curve 5808s1

-4	8	-3	-11
1452d1	23232dr1	17424by1	528e1

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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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