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	2	Product of Tamagawa factors cp
Δ	4315136 = 211 · 72 · 43	Discriminant
Eigenvalues	2+ -2  2 7+  4 -4 -6  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1832,-30800]	[a1,a2,a3,a4,a6]
Generators	[2397:19360:27]	Generators of the group modulo torsion
j	332205796946/2107	j-invariant
L	2.5291236594746	L(r)(E,1)/r!
Ω	0.7297071461356	Real period
R	6.9318867791509	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	4816c2 19264j2 21672i2 60200p2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2408a2

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 2408a2

-4	8	-3	5	-7	-43
4816c2	19264j2	21672i2	60200p2	16856d2	103544h2

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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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