Cremona's table of elliptic curves

9408 = 2⁶ · 3 · 7²

Field	Data	Notes
Atkin-Lehner	2- 3+ 7-	Signs for the Atkin-Lehner involutions
Class	9408cd	Isogeny class
Conductor	9408	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	122407847460864 = 218 · 34 · 78	Discriminant
Eigenvalues	2- 3+ -2 7-  4 -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-12609,-112671]	[a1,a2,a3,a4,a6]
Generators	[135:792:1]	Generators of the group modulo torsion
j	7189057/3969	j-invariant
L	3.3139146964707	L(r)(E,1)/r!
Ω	0.48226265395982	Real period
R	3.4357985936298	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	9408bj2 2352v2 28224fw2 1344r2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 9408cd2

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
-	+	-2	-	4	-2	6	-4	0	2	0	-6	-2	-4	0	-6	-12	-2	4	0	6	16	12	14	-18

---

Quadratic twists for elliptic curve 9408cd2

-4	8	-3	-7
9408bj2	2352v2	28224fw2	1344r2

---

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