Cremona's table of elliptic curves

8080 = 2⁴ · 5 · 101

Field	Data	Notes
Atkin-Lehner	2+ 5+ 101-	Signs for the Atkin-Lehner involutions
Class	8080a	Isogeny class
Conductor	8080	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	5376	Modular degree for the optimal curve
Δ	-3232000000 = -1 · 211 · 56 · 101	Discriminant
Eigenvalues	2+ -2 5+  1 -2  6  3  1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2456,-47756]	[a1,a2,a3,a4,a6]
j	-800305248818/1578125	j-invariant
L	1.3561458699632	L(r)(E,1)/r!
Ω	0.33903646749081	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	4040a1 32320s1 72720r1 40400e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8080a1

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	+	1	-2	6	3	1	6	5	0	4	-2	-7	2	11	-8	9	2	-4	-2	-4	6	2	-5

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Quadratic twists for elliptic curve 8080a1

-4	8	-3	5
4040a1	32320s1	72720r1	40400e1

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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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