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	10560cl	Isogeny class
Conductor	10560	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	12288	Modular degree for the optimal curve
Δ	-223556889600 = -1 · 210 · 38 · 52 · 113	Discriminant
Eigenvalues	2- 3- 5-  2 11-  0 -8 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,1235,-15037]	[a1,a2,a3,a4,a6]
Generators	[38:297:1]	Generators of the group modulo torsion
j	203269830656/218317275	j-invariant
L	6.0515688960183	L(r)(E,1)/r!
Ω	0.5382548344542	Real period
R	0.46845599493119	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	10560j1 2640a1 31680ck1 52800ex1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560cl1

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

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Quadratic twists for elliptic curve 10560cl1

-4	8	-3	5	-11
10560j1	2640a1	31680ck1	52800ex1	116160jg1

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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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