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	192	Product of Tamagawa factors cp
Δ	5744641851203062500 = 22 · 32 · 56 · 78 · 116	Discriminant
Eigenvalues	2- 3+ 5- 7- 11+ -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-16304800,25333802717]	[a1,a2,a3,a4,a6]
j	4074571110566294433649/48828650062500	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	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	129360ia6 48510ba6 80850bz6 2310t6	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 16170bn6

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 16170bn6

-4	-3	5	-7
129360ia6	48510ba6	80850bz6	2310t6

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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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