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	2366j	Isogeny class
Conductor	2366	Conductor
∏ cp	36	Product of Tamagawa factors cp
Δ	121094984192 = 29 · 72 · 136	Discriminant
Eigenvalues	2- -2  0 7+  0 13+  6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-461458,-120693756]	[a1,a2,a3,a4,a6]
j	2251439055699625/25088	j-invariant
L	1.6485761577294	L(r)(E,1)/r!
Ω	0.1831751286366	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	18928z6 75712h6 21294o6 59150o6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2366j6

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	0	+	0	+	6	-2	0	-6	4	-2	-6	8	12	6	6	8	4	0	-2	8	6	6	10

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Quadratic twists for elliptic curve 2366j6

-4	8	-3	5	-7	13
18928z6	75712h6	21294o6	59150o6	16562bo6	14a5

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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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