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	6560c	Isogeny class
Conductor	6560	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	537920000 = 29 · 54 · 412	Discriminant
Eigenvalues	2+  2 5-  4  2 -4 -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6680,-207928]	[a1,a2,a3,a4,a6]
j	64394407431368/1050625	j-invariant
L	4.2246470695645	L(r)(E,1)/r!
Ω	0.52808088369557	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	6560d2 13120bc2 59040bq2 32800m2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6560c2

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

---

Quadratic twists for elliptic curve 6560c2

-4	8	-3	5
6560d2	13120bc2	59040bq2	32800m2

---

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