Cremona's table of elliptic curves

2366 = 2 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 7- 13+	Signs for the Atkin-Lehner involutions
Class	2366c	Isogeny class
Conductor	2366	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	30240	Modular degree for the optimal curve
Δ	-293386990180630528 = -1 · 220 · 73 · 138	Discriminant
Eigenvalues	2+  0 -2 7- -4 13+ -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,146407,14599469]	[a1,a2,a3,a4,a6]
j	71903073502287/60782804992	j-invariant
L	0.59813425558498	L(r)(E,1)/r!
Ω	0.19937808519499	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	18928j1 75712y1 21294cl1 59150be1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2366c1

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	-2	-	-4	+	-6	0	8	-10	8	-6	6	4	8	6	-8	10	-4	8	-2	8	0	-18	-2

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Quadratic twists for elliptic curve 2366c1

-4	8	-3	5	-7	13
18928j1	75712y1	21294cl1	59150be1	16562e1	182a1

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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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