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	6	Number of curves in isogeny class
Curves	16170cb1 16170cb2 16170cb3 16170cb4 16170cb5 16170cb6	Curves in isogeny class
deg	73728	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+ 7- 11- -6 -2  4	Hecke eigenvalues for primes less than 20
L	8.2213629250027	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	129360eb 48510bn 80850w 330c	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 16170cb

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
-	-	+	-	-	-6	-2	4	0	-10	0	6	-2	4	8	-10	4	2	-4	-8	-2	-8	12	6	-18

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Quadratic twists for isogeny class 16170cb

-4	-3	5	-7
129360eb	48510bn	80850w	330c

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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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