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	16170e1 16170e2 16170e3 16170e4 16170e5 16170e6 16170e7 16170e8	Curves in isogeny class
deg	110592	Modular degree for the optimal curve
Eigenvalues	2+ 3+ 5+ 7- 11+ -2 -6  4	Hecke eigenvalues for primes less than 20
L	0.6443017343406	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	129360go 48510eg 80850fw 2310l	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for isogeny class 16170e

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	0	-2	-4	0	-2	8	-12	-6	-2

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Quadratic twists for isogeny class 16170e

-4	-3	5	-7
129360go	48510eg	80850fw	2310l

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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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