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	16170n	Isogeny class
Conductor	16170	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-372214810854810 = -1 · 2 · 32 · 5 · 710 · 114	Discriminant
Eigenvalues	2+ 3+ 5- 7- 11+  6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,17468,-261134]	[a1,a2,a3,a4,a6]
Generators	[45:764:1]	Generators of the group modulo torsion
j	5009866738631/3163773690	j-invariant
L	3.2469067071682	L(r)(E,1)/r!
Ω	0.30814195268526	Real period
R	2.6342621305485	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	129360ig3 48510dm3 80850gg3 2310h4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 16170n4

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	-2	-4	-8	2	-4	-6	6	-4	8	2	12	10	16	0	-10	-12	16	-10	2

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Quadratic twists for elliptic curve 16170n4

-4	-3	5	-7
129360ig3	48510dm3	80850gg3	2310h4

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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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