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	16170bf	Isogeny class
Conductor	16170	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-791272982259375000 = -1 · 23 · 3 · 58 · 78 · 114	Discriminant
Eigenvalues	2+ 3- 5- 7- 11-  6 -6  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,230127,5131228]	[a1,a2,a3,a4,a6]
Generators	[844:27875:1]	Generators of the group modulo torsion
j	11456208593737991/6725709375000	j-invariant
L	5.0019384426446	L(r)(E,1)/r!
Ω	0.17180729858268	Real period
R	0.90980172333844	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	129360fd3 48510da3 80850ev3 2310c4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 16170bf4

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

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Quadratic twists for elliptic curve 16170bf4

-4	-3	5	-7
129360fd3	48510da3	80850ev3	2310c4

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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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