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	10560a	Isogeny class
Conductor	10560	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	21504	Modular degree for the optimal curve
Δ	1239809250240 = 26 · 37 · 5 · 116	Discriminant
Eigenvalues	2+ 3+ 5+  0 11+  4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-14136,-639990]	[a1,a2,a3,a4,a6]
Generators	[707459314:-29481117493:405224]	Generators of the group modulo torsion
j	4881508724731456/19372019535	j-invariant
L	3.5279677343058	L(r)(E,1)/r!
Ω	0.43794445270852	Real period
R	16.11148497252	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	10560u1 5280q2 31680bs1 52800cb1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560a1

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	-6	2	4	8	-4	-10	-4	8	-8	-10	-4	2	12	-8	4	6	14	10	-10

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Quadratic twists for elliptic curve 10560a1

-4	8	-3	5	-11
10560u1	5280q2	31680bs1	52800cb1	116160q1

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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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