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	10560ca	Isogeny class
Conductor	10560	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	237895680 = 217 · 3 · 5 · 112	Discriminant
Eigenvalues	2- 3- 5+  0 11+  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-309761,66254079]	[a1,a2,a3,a4,a6]
Generators	[645:11628:1]	Generators of the group modulo torsion
j	25078144523224322/1815	j-invariant
L	5.1801656358958	L(r)(E,1)/r!
Ω	0.97451332031246	Real period
R	5.315643745367	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	10560f5 2640f5 31680ds6 52800dz6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560ca5

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	-8	2	-8	-6	2	-4	0	-6	4	10	-12	0	2	-8	12	-6	-14

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Quadratic twists for elliptic curve 10560ca5

-4	8	-3	5	-11
10560f5	2640f5	31680ds6	52800dz6	116160hr6

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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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