Cremona's table of elliptic curves

2343 = 3 · 11 · 71

Field	Data	Notes
Atkin-Lehner	3- 11- 71+	Signs for the Atkin-Lehner involutions
Class	2343g	Isogeny class
Conductor	2343	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	35433189 = 32 · 11 · 713	Discriminant
Eigenvalues	0 3- -3 -1 11-  5  3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-7037,-229573]	[a1,a2,a3,a4,a6]
Generators	[-390:-1:8]	Generators of the group modulo torsion
j	38543227604697088/35433189	j-invariant
L	2.6578429125401	L(r)(E,1)/r!
Ω	0.52125177636639	Real period
R	2.5494809159863	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	37488p2 7029d2 58575c2 114807h2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2343g2

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	-	-3	-1	-	5	3	-4	0	0	-10	5	-3	-4	6	-6	6	-1	2	+	-4	-10	0	-9	-16

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Quadratic twists for elliptic curve 2343g2

-4	-3	5	-7	-11
37488p2	7029d2	58575c2	114807h2	25773r2

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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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