Cremona's table of elliptic curves

160 = 2⁵ · 5

Field	Data	Notes
Atkin-Lehner	2- 5+	Signs for the Atkin-Lehner involutions
Class	160b	Isogeny class
Conductor	160	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	8	Modular degree for the optimal curve
Δ	320 = 26 · 5	Discriminant
Eigenvalues	2-  2 5+  2  4 -6  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6,-4]	[a1,a2,a3,a4,a6]
j	438976/5	j-invariant
L	1.5057762277219	L(r)(E,1)/r!
Ω	3.0115524554438	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	160a1 320e2 1440f1 800c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 160b1

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	+	2	4	-6	2	-8	6	-2	-4	2	-10	2	2	2	0	2	6	12	10	8	10	-6	10

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Quadratic twists for elliptic curve 160b1

-4	8	-3	5	-7	-11	13	17	-19	-23
160a1	320e2	1440f1	800c1	7840y1	19360e1	27040j1	46240bf1	57760e1	84640t1

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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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