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	16170bt	Isogeny class
Conductor	16170	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-104631138150 = -1 · 2 · 3 · 52 · 78 · 112	Discriminant
Eigenvalues	2- 3+ 5- 7- 11- -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,1175,-883]	[a1,a2,a3,a4,a6]
Generators	[398:3227:8]	Generators of the group modulo torsion
j	1524845951/889350	j-invariant
L	6.8465802879482	L(r)(E,1)/r!
Ω	0.62563959519688	Real period
R	2.7358323947646	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	129360hq2 48510s2 80850co2 2310s2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 16170bt2

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
-	+	-	-	-	-4	0	4	6	-2	-8	4	-10	-8	-8	-10	-4	-2	-6	4	2	4	-4	4	-2

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Quadratic twists for elliptic curve 16170bt2

-4	-3	5	-7
129360hq2	48510s2	80850co2	2310s2

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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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