Cremona's table of elliptic curves

1160 = 2³ · 5 · 29

Field	Data	Notes
Atkin-Lehner	2+ 5+ 29+	Signs for the Atkin-Lehner involutions
Class	1160b	Isogeny class
Conductor	1160	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	64	Modular degree for the optimal curve
Δ	11600 = 24 · 52 · 29	Discriminant
Eigenvalues	2+ -2 5+  0  4 -2  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-11,10]	[a1,a2,a3,a4,a6]
Generators	[-3:5:1]	Generators of the group modulo torsion
j	10061824/725	j-invariant
L	1.8618070447389	L(r)(E,1)/r!
Ω	3.9445030453092	Real period
R	0.47200040749189	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	2320a1 9280j1 10440z1 5800h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1160b1

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
+	-2	+	0	4	-2	0	4	-4	+	-4	-8	-2	2	2	-14	4	2	-4	-8	-12	-4	-4	-10	8

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Quadratic twists for elliptic curve 1160b1

-4	8	-3	5	-7	29
2320a1	9280j1	10440z1	5800h1	56840e1	33640d1

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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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