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	5808p	Isogeny class
Conductor	5808	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-925560189435543552 = -1 · 215 · 32 · 1112	Discriminant
Eigenvalues	2- 3+  0  2 11-  4  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-78448,-47027264]	[a1,a2,a3,a4,a6]
Generators	[84314:8652105:8]	Generators of the group modulo torsion
j	-7357983625/127552392	j-invariant
L	3.7128946450139	L(r)(E,1)/r!
Ω	0.12016605852812	Real period
R	7.7245078404254	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	726h4 23232dm4 17424bm4 528g4	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 5808p4

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

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Quadratic twists for elliptic curve 5808p4

-4	8	-3	-11
726h4	23232dm4	17424bm4	528g4

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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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