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	2366o	Isogeny class
Conductor	2366	Conductor
∏ cp	308	Product of Tamagawa factors cp
deg	51744	Modular degree for the optimal curve
Δ	-105832656764377088 = -1 · 211 · 77 · 137	Discriminant
Eigenvalues	2-  1 -4 7-  1 13+  4 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-778840,264955456]	[a1,a2,a3,a4,a6]
Generators	[534:916:1]	Generators of the group modulo torsion
j	-10824513276632329/21926008832	j-invariant
L	4.3616074002151	L(r)(E,1)/r!
Ω	0.33530951096529	Real period
R	0.042232810357643	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	18928n1 75712be1 21294bk1 59150b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2366o1

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	-4	-	1	+	4	-2	-7	-8	-3	-7	7	-8	-3	0	6	-13	-7	-4	-9	-13	16	6	-11

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Quadratic twists for elliptic curve 2366o1

-4	8	-3	5	-7	13
18928n1	75712be1	21294bk1	59150b1	16562bn1	182c1

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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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