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	16170bn	Isogeny class
Conductor	16170	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	281980917314250 = 2 · 3 · 53 · 710 · 113	Discriminant
Eigenvalues	2- 3+ 5- 7- 11+ -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-260876050,1621699265717]	[a1,a2,a3,a4,a6]
j	16689299266861680229173649/2396798250	j-invariant
L	2.6172197554365	L(r)(E,1)/r!
Ω	0.21810164628637	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	129360ia7 48510ba7 80850bz7 2310t7	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 16170bn8

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

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Quadratic twists for elliptic curve 16170bn8

-4	-3	5	-7
129360ia7	48510ba7	80850bz7	2310t7

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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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