Cremona's table of elliptic curves

16170 = 2 · 3 · 5 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	16170bi	Isogeny class
Conductor	16170	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-2.0599255323281E+19	Discriminant
Eigenvalues	2- 3+ 5+ 7- 11+  0  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,544634,-153882541]	[a1,a2,a3,a4,a6]
Generators	[343:8397:1]	Generators of the group modulo torsion
j	442746922510313/510468750000	j-invariant
L	5.8631182778957	L(r)(E,1)/r!
Ω	0.11616070546678	Real period
R	6.3092745674359	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	129360gg2 48510bp2 80850bw2 16170cd2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 16170bi2

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

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Quadratic twists for elliptic curve 16170bi2

-4	-3	5	-7
129360gg2	48510bp2	80850bw2	16170cd2

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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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