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	16	Product of Tamagawa factors cp
Δ	-993586176 = -1 · 210 · 36 · 113	Discriminant
Eigenvalues	2+ 3+ -2  2 11+  4 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,136,1344]	[a1,a2,a3,a4,a6]
Generators	[4:44:1]	Generators of the group modulo torsion
j	202612/729	j-invariant
L	3.1737708237325	L(r)(E,1)/r!
Ω	1.1095474697953	Real period
R	0.71510478598946	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	2904l2 23232dh2 17424i2 5808b2	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 5808a2

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 5808a2

-4	8	-3	-11
2904l2	23232dh2	17424i2	5808b2

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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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