Cremona's table of elliptic curves

2408 = 2³ · 7 · 43

Field	Data	Notes
Atkin-Lehner	2- 7+ 43-	Signs for the Atkin-Lehner involutions
Class	2408c	Isogeny class
Conductor	2408	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	30205952 = 211 · 73 · 43	Discriminant
Eigenvalues	2-  0 -2 7+  4  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-629291,192143366]	[a1,a2,a3,a4,a6]
Generators	[19880718:131150278:35937]	Generators of the group modulo torsion
j	13457002144177215234/14749	j-invariant
L	2.7959604573977	L(r)(E,1)/r!
Ω	0.92930758236863	Real period
R	12.034596555303	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	4816b3 19264b4 21672c4 60200c4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2408c4

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	2	2	0	0	-2	4	-10	10	-	-12	-10	-12	6	4	8	-10	-8	-12	-18	-6

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Quadratic twists for elliptic curve 2408c4

-4	8	-3	5	-7	-43
4816b3	19264b4	21672c4	60200c4	16856h3	103544c4

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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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