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	9386j	Isogeny class
Conductor	9386	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	766080	Modular degree for the optimal curve
Δ	-132627225288751232 = -1 · 27 · 132 · 1910	Discriminant
Eigenvalues	2-  1  4  2  3 13- -6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-37274521,-87595466567]	[a1,a2,a3,a4,a6]
j	-934165699635529/21632	j-invariant
L	6.8432839220543	L(r)(E,1)/r!
Ω	0.030550374652028	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	16	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	75088bc1 84474be1 122018i1 9386a1	Quadratic twists by: -4 -3 13 -19

Hecke Eigenvalues for elliptic curve 9386j1

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	4	2	3	-	-6	-	0	8	2	8	5	-4	-6	-4	-11	10	-5	-6	-11	14	7	10	1

---

Quadratic twists for elliptic curve 9386j1

-4	-3	13	-19
75088bc1	84474be1	122018i1	9386a1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations