Cremona's table of elliptic curves

22080 = 2⁶ · 3 · 5 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 23-	Signs for the Atkin-Lehner involutions
Conductor	22080	Conductor
Count	6	Number of curves in isogeny class
Curves	22080cr1 22080cr2 22080cr3 22080cr4 22080cr5 22080cr6	Curves in isogeny class
deg	73728	Modular degree for the optimal curve
Eigenvalues	2- 3- 5+  0  4  2 -6  4	Hecke eigenvalues for primes less than 20
L	2.9632087721197	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	22080d 5520u 66240fm 110400fl	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 22080cr

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	-6	4	-	2	0	2	10	-4	0	-6	-4	10	-12	8	10	8	-4	18	2

---

Quadratic twists for isogeny class 22080cr

-4	8	-3	5
22080d	5520u	66240fm	110400fl

---

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