Cremona's table of elliptic curves

170 = 2 · 5 · 17

Field	Data	Notes
Atkin-Lehner	2+ 5+ 17-	Signs for the Atkin-Lehner involutions
Conductor	170	Conductor
Count	4	Number of curves in isogeny class
Curves	170b1 170b2 170b3 170b4	Curves in isogeny class
deg	160	Modular degree for the optimal curve
Eigenvalues	2+ -2 5+  2  6  2 17-  8	Hecke eigenvalues for primes less than 20
L	0.63726065819045	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1360f 5440l 1530p 850h	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 170b

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

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Quadratic twists for isogeny class 170b

-4	8	-3	5	-7	-11	13	17	-19	-23
1360f	5440l	1530p	850h	8330k	20570j	28730bc	2890i	61370s	89930q

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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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