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	16170bu	Isogeny class
Conductor	16170	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	955040625000 = 23 · 34 · 58 · 73 · 11	Discriminant
Eigenvalues	2- 3+ 5- 7- 11- -4  2  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-2465,1847]	[a1,a2,a3,a4,a6]
Generators	[-43:196:1]	Generators of the group modulo torsion
j	4829379946327/2784375000	j-invariant
L	6.7755333655708	L(r)(E,1)/r!
Ω	0.75043789980918	Real period
R	0.37619887042472	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	129360hr2 48510t2 80850cq2 16170ca2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 16170bu2

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

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Quadratic twists for elliptic curve 16170bu2

-4	-3	5	-7
129360hr2	48510t2	80850cq2	16170ca2

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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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