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	16	Product of Tamagawa factors cp
deg	2112	Modular degree for the optimal curve
Δ	-300198078208 = -1 · 28 · 73 · 434	Discriminant
Eigenvalues	2-  0 -2 7+  4  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2351,51186]	[a1,a2,a3,a4,a6]
Generators	[41:154:1]	Generators of the group modulo torsion
j	-5613602206032/1172648743	j-invariant
L	2.7959604573977	L(r)(E,1)/r!
Ω	0.92930758236863	Real period
R	3.0086491388259	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	4816b1 19264b1 21672c1 60200c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2408c1

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 2408c1

-4	8	-3	5	-7	-43
4816b1	19264b1	21672c1	60200c1	16856h1	103544c1

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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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