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	-29098746279512 = -1 · 23 · 73 · 139	Discriminant
Eigenvalues	2+  1  0 7+  3 13+  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-32621,-2285216]	[a1,a2,a3,a4,a6]
Generators	[8958:126229:27]	Generators of the group modulo torsion
j	-795309684625/6028568	j-invariant
L	2.6892887678879	L(r)(E,1)/r!
Ω	0.17754165182521	Real period
R	3.7868420455718	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	18928x2 75712f2 21294cb2 59150bv2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2366a2

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 2366a2

-4	8	-3	5	-7	13
18928x2	75712f2	21294cb2	59150bv2	16562h2	182b2

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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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