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	4080o	Isogeny class
Conductor	4080	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-4329728640000 = -1 · 210 · 34 · 54 · 174	Discriminant
Eigenvalues	2+ 3- 5-  0  0 -2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-680,-100572]	[a1,a2,a3,a4,a6]
j	-34008619684/4228250625	j-invariant
L	2.7589771728502	L(r)(E,1)/r!
Ω	0.34487214660627	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2040c4 16320bs4 12240g4 20400a4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4080o4

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
+	-	-	0	0	-2	-	4	8	-2	4	6	-6	-8	-12	6	12	-2	16	12	-6	4	0	10	2

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Quadratic twists for elliptic curve 4080o4

-4	8	-3	5	17
2040c4	16320bs4	12240g4	20400a4	69360a3

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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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