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	9386h	Isogeny class
Conductor	9386	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	51059741475158 = 2 · 134 · 197	Discriminant
Eigenvalues	2-  0  2  4  4 13-  2 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-74434,-7790149]	[a1,a2,a3,a4,a6]
j	969417177273/1085318	j-invariant
L	5.2030604284525	L(r)(E,1)/r!
Ω	0.2890589126918	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	75088z4 84474ba4 122018f4 494b4	Quadratic twists by: -4 -3 13 -19

Hecke Eigenvalues for elliptic curve 9386h3

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
-	0	2	4	4	-	2	-	-8	-2	0	-10	2	12	4	6	12	14	12	-8	2	16	-12	-6	2

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Quadratic twists for elliptic curve 9386h3

-4	-3	13	-19
75088z4	84474ba4	122018f4	494b4

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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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