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	16170bd	Isogeny class
Conductor	16170	Conductor
∏ cp	640	Product of Tamagawa factors cp
Δ	-327005671239843750 = -1 · 2 · 35 · 58 · 76 · 114	Discriminant
Eigenvalues	2+ 3- 5- 7- 11- -2  2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,49807,27182306]	[a1,a2,a3,a4,a6]
Generators	[-150:4117:1]	Generators of the group modulo torsion
j	116149984977671/2779502343750	j-invariant
L	4.7082306636959	L(r)(E,1)/r!
Ω	0.22856029632067	Real period
R	0.12874695265014	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	129360ex3 48510cv3 80850ei3 330a4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 16170bd4

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	-8	4	2	-8	-2	-6	8	4	2	-4	6	-12	-12	-2	0	-4	6	14

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Quadratic twists for elliptic curve 16170bd4

-4	-3	5	-7
129360ex3	48510cv3	80850ei3	330a4

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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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