Cremona's table of elliptic curves

10560 = 2⁶ · 3 · 5 · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 11+	Signs for the Atkin-Lehner involutions
Class	10560o	Isogeny class
Conductor	10560	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	122880	Modular degree for the optimal curve
Δ	1052841796875000000 = 26 · 34 · 516 · 113	Discriminant
Eigenvalues	2+ 3- 5+  0 11+ -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-273956,-24768006]	[a1,a2,a3,a4,a6]
j	35529391776305786176/16450653076171875	j-invariant
L	1.7452768256958	L(r)(E,1)/r!
Ω	0.21815960321197	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	10560g1 5280e2 31680br1 52800b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560o1

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	+	-2	-6	4	-4	-10	4	2	2	4	-4	2	4	14	12	-4	10	0	4	10	2

---

Quadratic twists for elliptic curve 10560o1

-4	8	-3	5	-11
10560g1	5280e2	31680br1	52800b1	116160cr1

---

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