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	2	Product of Tamagawa factors cp
Δ	1218919116068864 = 211 · 712 · 43	Discriminant
Eigenvalues	2-  0 -2 7+  4  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-41051,2725270]	[a1,a2,a3,a4,a6]
Generators	[3246726:51913070:9261]	Generators of the group modulo torsion
j	3735639705005154/595175349643	j-invariant
L	2.7959604573977	L(r)(E,1)/r!
Ω	0.46465379118432	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	4816b4 19264b3 21672c3 60200c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2408c3

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 2408c3

-4	8	-3	5	-7	-43
4816b4	19264b3	21672c3	60200c3	16856h4	103544c3

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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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