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	16170v	Isogeny class
Conductor	16170	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	3840	Modular degree for the optimal curve
Δ	-18110400 = -1 · 26 · 3 · 52 · 73 · 11	Discriminant
Eigenvalues	2+ 3- 5+ 7- 11- -2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-89,-388]	[a1,a2,a3,a4,a6]
j	-223648543/52800	j-invariant
L	1.5372407498824	L(r)(E,1)/r!
Ω	0.76862037494122	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	129360dw1 48510dw1 80850eh1 16170o1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 16170v1

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	-2	0	4	6	4	-6	-4	-6	-12	6	0	2	4	2	6	10	-4	14	-10

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Quadratic twists for elliptic curve 16170v1

-4	-3	5	-7
129360dw1	48510dw1	80850eh1	16170o1

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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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