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	10560cb	Isogeny class
Conductor	10560	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	6144	Modular degree for the optimal curve
Δ	-33218887680 = -1 · 226 · 32 · 5 · 11	Discriminant
Eigenvalues	2- 3- 5+  0 11+  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,319,-8385]	[a1,a2,a3,a4,a6]
Generators	[170:735:8]	Generators of the group modulo torsion
j	13651919/126720	j-invariant
L	5.1443528998204	L(r)(E,1)/r!
Ω	0.57659832280001	Real period
R	4.4609502806381	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	10560e1 2640q1 31680dt1 52800ea1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560cb1

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	2	-4	0	2	0	2	2	-12	-8	-6	-12	-6	4	0	-6	16	4	10	2

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Quadratic twists for elliptic curve 10560cb1

-4	8	-3	5	-11
10560e1	2640q1	31680dt1	52800ea1	116160hp1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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