Cremona's table of elliptic curves

9386 = 2 · 13 · 19²

Field	Data	Notes
Atkin-Lehner	2- 13+ 19-	Signs for the Atkin-Lehner involutions
Class	9386g	Isogeny class
Conductor	9386	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	-313137383936 = -1 · 29 · 13 · 196	Discriminant
Eigenvalues	2- -1 -3 -1  6 13+ -3 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-165887,25936485]	[a1,a2,a3,a4,a6]
Generators	[207:618:1]	Generators of the group modulo torsion
j	-10730978619193/6656	j-invariant
L	4.2982050997653	L(r)(E,1)/r!
Ω	0.7982161386392	Real period
R	0.29915352578097	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	75088t3 84474q3 122018l3 26a2	Quadratic twists by: -4 -3 13 -19

Hecke Eigenvalues for elliptic curve 9386g3

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	-3	-1	6	+	-3	-	0	-6	4	7	0	-1	3	0	6	8	-14	3	2	-8	12	6	10

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Quadratic twists for elliptic curve 9386g3

-4	-3	13	-19
75088t3	84474q3	122018l3	26a2

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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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