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	2366a	Isogeny class
Conductor	2366	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-878479238 = -1 · 2 · 7 · 137	Discriminant
Eigenvalues	2+  1  0 7+  3 13+  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2647051,-1657865324]	[a1,a2,a3,a4,a6]
Generators	[6333276:3064092680:27]	Generators of the group modulo torsion
j	-424962187484640625/182	j-invariant
L	2.6892887678879	L(r)(E,1)/r!
Ω	0.059180550608403	Real period
R	11.360526136715	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	18928x3 75712f3 21294cb3 59150bv3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2366a3

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	0	+	3	+	0	-2	-3	0	-5	7	-3	8	3	-12	-6	-1	-5	-12	-11	-1	-12	18	-17

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Quadratic twists for elliptic curve 2366a3

-4	8	-3	5	-7	13
18928x3	75712f3	21294cb3	59150bv3	16562h3	182b3

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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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