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	2408b	Isogeny class
Conductor	2408	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	448	Modular degree for the optimal curve
Δ	-26430208 = -1 · 28 · 74 · 43	Discriminant
Eigenvalues	2+ -2  0 7-  1  3 -7 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,7,-245]	[a1,a2,a3,a4,a6]
Generators	[7:14:1]	Generators of the group modulo torsion
j	128000/103243	j-invariant
L	2.3608695623511	L(r)(E,1)/r!
Ω	0.98616892618565	Real period
R	0.14962380554583	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4816a1 19264k1 21672p1 60200k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2408b1

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	-	1	3	-7	-2	1	2	5	-8	9	-	4	-9	4	-14	-1	-2	14	-8	1	0	-13

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Quadratic twists for elliptic curve 2408b1

-4	8	-3	5	-7	-43
4816a1	19264k1	21672p1	60200k1	16856f1	103544f1

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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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