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
Conductor	16170	Conductor
Count	8	Number of curves in isogeny class
Curves	16170m1 16170m2 16170m3 16170m4 16170m5 16170m6 16170m7 16170m8	Curves in isogeny class
deg	663552	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5- 7- 11+ -2  6  4	Hecke eigenvalues for primes less than 20
L	3.3182024421056	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	129360hy 48510dk 80850fx 2310g	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 16170m

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	4	2	6	-4	0	-6	-12	-14	-16	0	-2	-4	0	6	10

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Quadratic twists for isogeny class 16170m

-4	-3	5	-7
129360hy	48510dk	80850fx	2310g

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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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