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	10560r	Isogeny class
Conductor	10560	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	32440320 = 216 · 32 · 5 · 11	Discriminant
Eigenvalues	2+ 3- 5+  4 11+ -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-42241,-3355681]	[a1,a2,a3,a4,a6]
j	127191074376964/495	j-invariant
L	2.6641283082373	L(r)(E,1)/r!
Ω	0.33301603852966	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	10560bq3 1320j3 31680bx4 52800u4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560r3

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
+	-	+	4	+	-2	-2	-4	0	2	0	2	-6	0	8	2	-4	10	-4	0	14	16	0	10	-6

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Quadratic twists for elliptic curve 10560r3

-4	8	-3	5	-11
10560bq3	1320j3	31680bx4	52800u4	116160ds4

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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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