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	10560bq	Isogeny class
Conductor	10560	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	4096	Modular degree for the optimal curve
Δ	674657280 = 210 · 32 · 5 · 114	Discriminant
Eigenvalues	2- 3+ 5+ -4 11- -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-221,285]	[a1,a2,a3,a4,a6]
Generators	[-4:33:1]	Generators of the group modulo torsion
j	1171019776/658845	j-invariant
L	2.7990408118784	L(r)(E,1)/r!
Ω	1.3924543307278	Real period
R	0.50253727359508	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	10560r1 2640l1 31680dr1 52800he1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560bq1

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
-	+	+	-4	-	-2	-2	4	0	2	0	2	-6	0	-8	2	4	10	4	0	14	-16	0	10	-6

---

Quadratic twists for elliptic curve 10560bq1

-4	8	-3	5	-11
10560r1	2640l1	31680dr1	52800he1	116160fv1

---

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