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	10560o	Isogeny class
Conductor	10560	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	1173405402132480000 = 215 · 316 · 54 · 113	Discriminant
Eigenvalues	2+ 3- 5+  0 11+ -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-35502081,81407725119]	[a1,a2,a3,a4,a6]
j	151020262560470148771848/35809491031875	j-invariant
L	1.7452768256958	L(r)(E,1)/r!
Ω	0.21815960321197	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	10560g3 5280e3 31680br4 52800b4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 10560o3

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	-6	4	-4	-10	4	2	2	4	-4	2	4	14	12	-4	10	0	4	10	2

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Quadratic twists for elliptic curve 10560o3

-4	8	-3	5	-11
10560g3	5280e3	31680br4	52800b4	116160cr4

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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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