Cremona's table of elliptic curves

9680 = 2⁴ · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 5- 11-	Signs for the Atkin-Lehner involutions
Class	9680y	Isogeny class
Conductor	9680	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-11686366028226560 = -1 · 213 · 5 · 1111	Discriminant
Eigenvalues	2-  1 5-  3 11-  6  7  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-11499880,-15014090060]	[a1,a2,a3,a4,a6]
j	-23178622194826561/1610510	j-invariant
L	4.0991728056312	L(r)(E,1)/r!
Ω	0.040991728056312	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	25	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	1210g2 38720cc2 87120eo2 48400cd2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9680y2

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	-	6	7	5	6	-5	3	3	-2	4	2	-1	10	-7	-8	-7	-14	10	-6	-15	-12

---

Quadratic twists for elliptic curve 9680y2

-4	8	-3	5	-11
1210g2	38720cc2	87120eo2	48400cd2	880g2

---

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