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	9680k	Isogeny class
Conductor	9680	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	15090865222400 = 28 · 52 · 119	Discriminant
Eigenvalues	2-  0 5+ -4 11+  4 -4 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-177023,-28667078]	[a1,a2,a3,a4,a6]
j	1016339184/25	j-invariant
L	0.23275165167464	L(r)(E,1)/r!
Ω	0.23275165167464	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2420a2 38720co2 87120fh2 48400bi2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9680k2

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	+	-4	+	4	-4	-8	-4	-8	4	6	-8	-4	-12	-10	0	8	-8	-12	12	8	-4	10	-2

---

Quadratic twists for elliptic curve 9680k2

-4	8	-3	5	-11
2420a2	38720co2	87120fh2	48400bi2	9680j2

---

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