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	5808a	Isogeny class
Conductor	5808	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	9199872 = 28 · 33 · 113	Discriminant
Eigenvalues	2+ 3+ -2  2 11+  4 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-84,288]	[a1,a2,a3,a4,a6]
Generators	[-7:22:1]	Generators of the group modulo torsion
j	194672/27	j-invariant
L	3.1737708237325	L(r)(E,1)/r!
Ω	2.2190949395907	Real period
R	1.4302095719789	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	2904l1 23232dh1 17424i1 5808b1	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 5808a1

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

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Quadratic twists for elliptic curve 5808a1

-4	8	-3	-11
2904l1	23232dh1	17424i1	5808b1

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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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