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	2366p	Isogeny class
Conductor	2366	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	-8479744 = -1 · 210 · 72 · 132	Discriminant
Eigenvalues	2- -2 -1 7- -2 13+  1  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,29,129]	[a1,a2,a3,a4,a6]
Generators	[2:13:1]	Generators of the group modulo torsion
j	15925559/50176	j-invariant
L	3.2309790165449	L(r)(E,1)/r!
Ω	1.6410361744238	Real period
R	0.098443260023791	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	18928o1 75712bf1 21294bd1 59150c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2366p1

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	-1	-	-2	+	1	4	2	-5	-6	-7	7	-2	0	-9	6	5	-10	-16	3	-10	-14	6	-2

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Quadratic twists for elliptic curve 2366p1

-4	8	-3	5	-7	13
18928o1	75712bf1	21294bd1	59150c1	16562bp1	2366b1

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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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