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	8	Product of Tamagawa factors cp
Δ	-421446708756480 = -1 · 217 · 3 · 5 · 118	Discriminant
Eigenvalues	2- 3- 5+  0 11+  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-16961,1297599]	[a1,a2,a3,a4,a6]
Generators	[-78:1467:1]	Generators of the group modulo torsion
j	-4117122162722/3215383215	j-invariant
L	5.1801656358958	L(r)(E,1)/r!
Ω	0.48725666015623	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	10560f6 2640f6 31680ds5 52800dz5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560ca6

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 10560ca6

-4	8	-3	5	-11
10560f6	2640f6	31680ds5	52800dz5	116160hr5

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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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