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	11560h	Isogeny class
Conductor	11560	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	6912	Modular degree for the optimal curve
Δ	-10690688000 = -1 · 210 · 53 · 174	Discriminant
Eigenvalues	2- -1 5+ -3 -4  0 17- -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-96,5020]	[a1,a2,a3,a4,a6]
Generators	[6:68:1]	Generators of the group modulo torsion
j	-1156/125	j-invariant
L	2.349241700464	L(r)(E,1)/r!
Ω	1.0525380444457	Real period
R	0.37199632400639	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	23120g1 92480ci1 104040bo1 57800j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 11560h1

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	+	-3	-4	0	-	-8	1	6	10	8	-3	-4	4	4	6	6	-7	-12	14	14	1	-11	12

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Quadratic twists for elliptic curve 11560h1

-4	8	-3	5	17
23120g1	92480ci1	104040bo1	57800j1	11560k1

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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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