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	16170bq	Isogeny class
Conductor	16170	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	19533138762060000 = 25 · 34 · 54 · 77 · 114	Discriminant
Eigenvalues	2- 3+ 5- 7- 11+  6  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-4744720,-3979964143]	[a1,a2,a3,a4,a6]
j	100407751863770656369/166028940000	j-invariant
L	4.0917297473904	L(r)(E,1)/r!
Ω	0.10229324368476	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	129360ih4 48510bf4 80850ch4 2310q3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 16170bq3

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

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Quadratic twists for elliptic curve 16170bq3

-4	-3	5	-7
129360ih4	48510bf4	80850ch4	2310q3

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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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