Cremona's table of elliptic curves

6560 = 2⁵ · 5 · 41

Field	Data	Notes
Atkin-Lehner	2- 5+ 41-	Signs for the Atkin-Lehner involutions
Class	6560j	Isogeny class
Conductor	6560	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	65600 = 26 · 52 · 41	Discriminant
Eigenvalues	2-  2 5+ -2 -2  2  2  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1366,-18984]	[a1,a2,a3,a4,a6]
Generators	[1956:13688:27]	Generators of the group modulo torsion
j	4407717267136/1025	j-invariant
L	5.0162851143438	L(r)(E,1)/r!
Ω	0.78525442945026	Real period
R	6.3881016473293	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6560l1 13120bo2 59040t1 32800e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6560j1

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	+	-2	-2	2	2	2	4	-6	0	-6	-	8	-6	-6	0	-2	-10	-6	6	-14	-4	2	-6

---

Quadratic twists for elliptic curve 6560j1

-4	8	-3	5
6560l1	13120bo2	59040t1	32800e1

---

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