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	10560x	Isogeny class
Conductor	10560	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	23648993280 = 216 · 38 · 5 · 11	Discriminant
Eigenvalues	2+ 3- 5+ -4 11- -2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-4801,126239]	[a1,a2,a3,a4,a6]
Generators	[-13:432:1]	Generators of the group modulo torsion
j	186779563204/360855	j-invariant
L	4.3964304666902	L(r)(E,1)/r!
Ω	1.2009855644178	Real period
R	0.45758569013498	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	10560bk3 1320i4 31680bn4 52800bi4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560x4

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

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Quadratic twists for elliptic curve 10560x4

-4	8	-3	5	-11
10560bk3	1320i4	31680bn4	52800bi4	116160dq4

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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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