Cremona's table of elliptic curves

2346 = 2 · 3 · 17 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3+ 17+ 23+	Signs for the Atkin-Lehner involutions
Class	2346c	Isogeny class
Conductor	2346	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	2880	Modular degree for the optimal curve
Δ	-7029441792 = -1 · 28 · 35 · 173 · 23	Discriminant
Eigenvalues	2+ 3+  4 -2 -3  1 17+ -3	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-138,-4140]	[a1,a2,a3,a4,a6]
Generators	[20:30:1]	Generators of the group modulo torsion
j	-293946977449/7029441792	j-invariant
L	2.388188632873	L(r)(E,1)/r!
Ω	0.57455863634804	Real period
R	2.0782810332924	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	18768x1 75072bi1 7038r1 58650cf1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2346c1

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
+	+	4	-2	-3	1	+	-3	+	-3	-1	-6	-11	-12	13	-13	-9	13	-3	6	14	-12	8	15	9

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Quadratic twists for elliptic curve 2346c1

-4	8	-3	5	-7	17	-23
18768x1	75072bi1	7038r1	58650cf1	114954bf1	39882z1	53958n1

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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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