Cremona's table of elliptic curves

17080 = 2³ · 5 · 7 · 61

Field	Data	Notes
Atkin-Lehner	2+ 5- 7+ 61-	Signs for the Atkin-Lehner involutions
Conductor	17080	Conductor
Count	4	Number of curves in isogeny class
Curves	17080d1 17080d2 17080d3 17080d4	Curves in isogeny class
deg	13568	Modular degree for the optimal curve
Eigenvalues	2+  0 5- 7+ -4 -2 -2 -4	Hecke eigenvalues for primes less than 20
L	4.3223617830876	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	34160i 85400z 119560d	Quadratic twists by: -4 5 -7

Hecke Eigenvalues for isogeny class 17080d

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
+	0	-	+	-4	-2	-2	-4	8	6	8	-6	10	-4	12	2	4	-	-12	-8	2	-16	16	-6	-14

---

Quadratic twists for isogeny class 17080d

-4	5	-7
34160i	85400z	119560d

---

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