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	32	Product of Tamagawa factors cp
Δ	86356131840000 = 220 · 32 · 54 · 114	Discriminant
Eigenvalues	2- 3- 5+  0 11+  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-16321,661055]	[a1,a2,a3,a4,a6]
Generators	[722:19125:1]	Generators of the group modulo torsion
j	1834216913521/329422500	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	4	Number of elements in the torsion subgroup
Twists	10560e3 2640q4 31680dt3 52800ea3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560cb4

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 10560cb4

-4	8	-3	5	-11
10560e3	2640q4	31680dt3	52800ea3	116160hp3

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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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