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	18	Product of Tamagawa factors cp
deg	576	Modular degree for the optimal curve
Δ	68891229 = 36 · 113 · 71	Discriminant
Eigenvalues	0 3- -3 -1 11-  5  3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-107,-190]	[a1,a2,a3,a4,a6]
Generators	[-6:16:1]	Generators of the group modulo torsion
j	136750071808/68891229	j-invariant
L	2.6578429125401	L(r)(E,1)/r!
Ω	1.5637553290992	Real period
R	0.84982697199543	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	37488p1 7029d1 58575c1 114807h1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2343g1

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 2343g1

-4	-3	5	-7	-11
37488p1	7029d1	58575c1	114807h1	25773r1

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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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