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	5808n	Isogeny class
Conductor	5808	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	3232687822848 = 211 · 34 · 117	Discriminant
Eigenvalues	2+ 3-  2  0 11- -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-57152,5239188]	[a1,a2,a3,a4,a6]
Generators	[142:84:1]	Generators of the group modulo torsion
j	5690357426/891	j-invariant
L	5.1830155497882	L(r)(E,1)/r!
Ω	0.77005647147241	Real period
R	1.6826738498405	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2904k3 23232dc4 17424v3 528d3	Quadratic twists by: -4 8 -3 -11

Hecke Eigenvalues for elliptic curve 5808n3

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

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Quadratic twists for elliptic curve 5808n3

-4	8	-3	-11
2904k3	23232dc4	17424v3	528d3

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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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