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	10560bm	Isogeny class
Conductor	10560	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	4608	Modular degree for the optimal curve
Δ	1870672320 = 26 · 312 · 5 · 11	Discriminant
Eigenvalues	2- 3+ 5+  0 11-  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-316,-494]	[a1,a2,a3,a4,a6]
Generators	[1101:6202:27]	Generators of the group modulo torsion
j	54698902336/29229255	j-invariant
L	3.6645605864509	L(r)(E,1)/r!
Ω	1.2036590045454	Real period
R	6.0890344734052	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	10560cc1 5280p3 31680de1 52800gs1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560bm1

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	-6	8	-2	-2	-8	8	-14	-4	-10	4	4	10	8	-4	2	18

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Quadratic twists for elliptic curve 10560bm1

-4	8	-3	5	-11
10560cc1	5280p3	31680de1	52800gs1	116160fa1

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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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