Cremona's table of elliptic curves

4080 = 2⁴ · 3 · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 17+	Signs for the Atkin-Lehner involutions
Class	4080v	Isogeny class
Conductor	4080	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	9055641600 = 213 · 32 · 52 · 173	Discriminant
Eigenvalues	2- 3+ 5- -2  0 -4 17+  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-838480,295799872]	[a1,a2,a3,a4,a6]
Generators	[528:40:1]	Generators of the group modulo torsion
j	15916310615119911121/2210850	j-invariant
L	3.0669240261171	L(r)(E,1)/r!
Ω	0.74338083839735	Real period
R	1.0314107748355	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	510g4 16320cl4 12240bs4 20400dl4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4080v4

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	+	4	0	6	4	2	0	-2	0	-6	-6	-10	-2	6	-16	-8	0	6	-4

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Quadratic twists for elliptic curve 4080v4

-4	8	-3	5	17
510g4	16320cl4	12240bs4	20400dl4	69360db4

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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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