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	2366n	Isogeny class
Conductor	2366	Conductor
∏ cp	10	Product of Tamagawa factors cp
Δ	-5703354270784352 = -1 · 25 · 75 · 139	Discriminant
Eigenvalues	2- -1  2 7+ -5 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,8193,3625669]	[a1,a2,a3,a4,a6]
Generators	[239:4274:1]	Generators of the group modulo torsion
j	5735339/537824	j-invariant
L	4.0417033074913	L(r)(E,1)/r!
Ω	0.32722161651034	Real period
R	1.2351577962954	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	18928bf2 75712v2 21294ba2 59150t2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2366n2

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 2366n2

-4	8	-3	5	-7	13
18928bf2	75712v2	21294ba2	59150t2	16562bt2	2366h2

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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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