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	2	Number of curves in isogeny class
Curves	170a1 170a2	Curves in isogeny class
deg	16	Modular degree for the optimal curve
Eigenvalues	2+ -2 5- -2 -2 -6 17- -8	Hecke eigenvalues for primes less than 20
L	0.8289341482393	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	1360j 5440c 1530k 850g	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 170a

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	-2	-6	-	-8	-2	6	-2	6	2	-4	4	-10	0	-10	8	14	10	-14	-4	6	-14

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Quadratic twists for isogeny class 170a

-4	8	-3	5	-7	-11	13	17	-19	-23
1360j	5440c	1530k	850g	8330d	20570o	28730x	2890c	61370x	89930d

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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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