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	2408a	Isogeny class
Conductor	2408	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	544	Modular degree for the optimal curve
Δ	-13253632 = -1 · 210 · 7 · 432	Discriminant
Eigenvalues	2+ -2  2 7+  4 -4 -6  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-112,-528]	[a1,a2,a3,a4,a6]
Generators	[84:768:1]	Generators of the group modulo torsion
j	-153091012/12943	j-invariant
L	2.5291236594746	L(r)(E,1)/r!
Ω	0.7297071461356	Real period
R	3.4659433895754	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	4816c1 19264j1 21672i1 60200p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2408a1

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	2	+	4	-4	-6	6	0	2	-6	-2	-6	+	2	-2	-12	2	4	8	-4	8	0	8	-2

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Quadratic twists for elliptic curve 2408a1

-4	8	-3	5	-7	-43
4816c1	19264j1	21672i1	60200p1	16856d1	103544h1

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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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