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	170c1 170c2	Curves in isogeny class
deg	84	Modular degree for the optimal curve
Eigenvalues	2-  1 5+  2  0 -1 17+ -1	Hecke eigenvalues for primes less than 20
L	1.8469013549656	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	1360d 5440e 1530g 850a	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 170c

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
-	1	+	2	0	-1	+	-1	-6	-3	5	8	6	-10	-3	-3	3	11	2	9	11	8	-12	15	-7

---

Quadratic twists for isogeny class 170c

-4	8	-3	5	-7	-11	13	17	-19	-23
1360d	5440e	1530g	850a	8330y	20570b	28730k	2890q	61370d	89930bg

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations