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	2366h	Isogeny class
Conductor	2366	Conductor
∏ cp	10	Product of Tamagawa factors cp
Δ	-1181599328 = -1 · 25 · 75 · 133	Discriminant
Eigenvalues	2+ -1 -2 7-  5 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,49,1669]	[a1,a2,a3,a4,a6]
Generators	[5:43:1]	Generators of the group modulo torsion
j	5735339/537824	j-invariant
L	1.8176528061635	L(r)(E,1)/r!
Ω	1.1798143167682	Real period
R	0.15406261649226	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	18928t2 75712bp2 21294cw2 59150br2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2366h2

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
+	-1	-2	-	5	-	2	-4	-9	0	5	3	5	-4	13	14	-6	-13	-3	0	1	-15	-6	-6	7

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Quadratic twists for elliptic curve 2366h2

-4	8	-3	5	-7	13
18928t2	75712bp2	21294cw2	59150br2	16562u2	2366n2

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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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