Cremona's table of elliptic curves

16080 = 2⁴ · 3 · 5 · 67

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 67+	Signs for the Atkin-Lehner involutions
Class	16080u	Isogeny class
Conductor	16080	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	18432	Modular degree for the optimal curve
Δ	-711327744000 = -1 · 220 · 34 · 53 · 67	Discriminant
Eigenvalues	2- 3- 5+  0 -4  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,2024,21140]	[a1,a2,a3,a4,a6]
Generators	[-4:114:1]	Generators of the group modulo torsion
j	223759095911/173664000	j-invariant
L	5.5454449134227	L(r)(E,1)/r!
Ω	0.57991975762956	Real period
R	2.3906087180448	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	2010a1 64320cc1 48240bt1 80400bz1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 16080u1

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

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Quadratic twists for elliptic curve 16080u1

-4	8	-3	5
2010a1	64320cc1	48240bt1	80400bz1

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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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