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	10560ba	Isogeny class
Conductor	10560	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	-2534400 = -1 · 210 · 32 · 52 · 11	Discriminant
Eigenvalues	2+ 3- 5-  0 11+  4 -2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-5,75]	[a1,a2,a3,a4,a6]
Generators	[-2:9:1]	Generators of the group modulo torsion
j	-16384/2475	j-invariant
L	5.872147299602	L(r)(E,1)/r!
Ω	2.1029958009658	Real period
R	1.3961386173252	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	10560by1 660b1 31680u1 52800e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560ba1

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	+	4	-2	-2	-8	4	-4	2	-12	-8	-4	10	-4	-6	-12	0	-16	6	2	18	-2

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Quadratic twists for elliptic curve 10560ba1

-4	8	-3	5	-11
10560by1	660b1	31680u1	52800e1	116160eb1

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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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