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	11560a	Isogeny class
Conductor	11560	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	123584353280 = 210 · 5 · 176	Discriminant
Eigenvalues	2+  0 5+  4 -4 -2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-30923,-2092938]	[a1,a2,a3,a4,a6]
Generators	[-117471270:9515276:1157625]	Generators of the group modulo torsion
j	132304644/5	j-invariant
L	4.3707769006257	L(r)(E,1)/r!
Ω	0.36002290705323	Real period
R	12.14027445198	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	23120a4 92480bs4 104040cw4 57800s4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11560a3

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

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Quadratic twists for elliptic curve 11560a3

-4	8	-3	5	17
23120a4	92480bs4	104040cw4	57800s4	40a2

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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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