Cremona's table of elliptic curves

80 = 2⁴ · 5

Field	Data	Notes
Atkin-Lehner	2- 5+	Signs for the Atkin-Lehner involutions
Class	80b	Isogeny class
Conductor	80	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	80 = 24 · 5	Discriminant
Eigenvalues	2-  2 5+ -2  0  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1,0]	[a1,a2,a3,a4,a6]
j	16384/5	j-invariant
L	1.1370825995205	L(r)(E,1)/r!
Ω	4.5483303980822	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	20a2 320f1 720i1 400e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 80b2

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

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Quadratic twists for elliptic curve 80b2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
20a2	320f1	720i1	400e1	3920bf1	9680t1	13520bb1	23120bj1	28880y1	42320z1	67280q1	76880s1	109520y1

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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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