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	10560bo	Isogeny class
Conductor	10560	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	168570024099840000 = 222 · 312 · 54 · 112	Discriminant
Eigenvalues	2- 3+ 5+  0 11- -6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-685121,217605345]	[a1,a2,a3,a4,a6]
Generators	[5403:392700:1]	Generators of the group modulo torsion
j	135670761487282321/643043610000	j-invariant
L	3.2944706597053	L(r)(E,1)/r!
Ω	0.32378010721904	Real period
R	5.0875124602337	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	10560q3 2640v4 31680dh3 52800gu3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560bo4

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

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Quadratic twists for elliptic curve 10560bo4

-4	8	-3	5	-11
10560q3	2640v4	31680dh3	52800gu3	116160fc3

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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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