Cremona's table of elliptic curves

11560 = 2³ · 5 · 17²

Field	Data	Notes
Atkin-Lehner	2- 5- 17+	Signs for the Atkin-Lehner involutions
Class	11560j	Isogeny class
Conductor	11560	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	18432	Modular degree for the optimal curve
Δ	2626167507200 = 28 · 52 · 177	Discriminant
Eigenvalues	2-  0 5-  0  0 -2 17+ -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-41327,3232754]	[a1,a2,a3,a4,a6]
Generators	[-170:2312:1]	Generators of the group modulo torsion
j	1263257424/425	j-invariant
L	4.5814639255213	L(r)(E,1)/r!
Ω	0.7943115750391	Real period
R	2.8839211648752	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	23120i1 92480a1 104040i1 57800a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11560j1

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	-	0	0	-2	+	-4	8	-2	8	-2	-2	-4	0	6	-4	6	4	8	-2	0	4	-6	-18

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Quadratic twists for elliptic curve 11560j1

-4	8	-3	5	17
23120i1	92480a1	104040i1	57800a1	680a1

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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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