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	11560b	Isogeny class
Conductor	11560	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	5376	Modular degree for the optimal curve
Δ	-1257728000 = -1 · 211 · 53 · 173	Discriminant
Eigenvalues	2+  1 5+ -4  2  1 17+  5	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-776,8240]	[a1,a2,a3,a4,a6]
Generators	[11:34:1]	Generators of the group modulo torsion
j	-5142706/125	j-invariant
L	4.3231588728665	L(r)(E,1)/r!
Ω	1.5297870496492	Real period
R	1.4129936823095	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	23120c1 92480bx1 104040cy1 57800u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11560b1

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
+	1	+	-4	2	1	+	5	-6	5	3	-2	0	0	13	3	-7	-1	-2	3	1	8	10	-17	-17

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Quadratic twists for elliptic curve 11560b1

-4	8	-3	5	17
23120c1	92480bx1	104040cy1	57800u1	11560c1

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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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