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	2343c	Isogeny class
Conductor	2343	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	288	Modular degree for the optimal curve
Δ	7029 = 32 · 11 · 71	Discriminant
Eigenvalues	-2 3+ -3 -3 11+ -1  1 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-12,20]	[a1,a2,a3,a4,a6]
Generators	[-1:5:1] [0:4:1]	Generators of the group modulo torsion
j	207474688/7029	j-invariant
L	1.5848420712066	L(r)(E,1)/r!
Ω	4.1715119121537	Real period
R	0.18996015168869	Regulator
r	2	Rank of the group of rational points
S	0.99999999999925	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	37488bb1 7029g1 58575q1 114807w1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 2343c1

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	+	-3	-3	+	-1	1	-6	2	-6	-6	-11	3	-8	2	-12	-10	-7	-4	-	6	-2	-6	3	-12

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Quadratic twists for elliptic curve 2343c1

-4	-3	5	-7	-11
37488bb1	7029g1	58575q1	114807w1	25773i1

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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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