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	10560n	Isogeny class
Conductor	10560	Conductor
∏ cp	72	Product of Tamagawa factors cp
Δ	-191664000000 = -1 · 210 · 32 · 56 · 113	Discriminant
Eigenvalues	2+ 3+ 5- -4 11-  4 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1275,-12123]	[a1,a2,a3,a4,a6]
Generators	[29:220:1]	Generators of the group modulo torsion
j	223673040896/187171875	j-invariant
L	3.5177964584651	L(r)(E,1)/r!
Ω	0.55700080839736	Real period
R	0.35086688140311	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	10560cj3 660c3 31680r3 52800dg3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560n3

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

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Quadratic twists for elliptic curve 10560n3

-4	8	-3	5	-11
10560cj3	660c3	31680r3	52800dg3	116160cj3

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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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