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	10560y	Isogeny class
Conductor	10560	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2048	Modular degree for the optimal curve
Δ	70276800 = 26 · 3 · 52 · 114	Discriminant
Eigenvalues	2+ 3- 5-  0 11+  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-140,450]	[a1,a2,a3,a4,a6]
Generators	[90:165:8]	Generators of the group modulo torsion
j	4775581504/1098075	j-invariant
L	5.840663291665	L(r)(E,1)/r!
Ω	1.8343969325367	Real period
R	3.1839691770461	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	10560k1 5280j3 31680s1 52800d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560y1

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

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Quadratic twists for elliptic curve 10560y1

-4	8	-3	5	-11
10560k1	5280j3	31680s1	52800d1	116160ea1

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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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