Cremona's table of elliptic curves

570 = 2 · 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 19+	Signs for the Atkin-Lehner involutions
Conductor	570	Conductor
Count	4	Number of curves in isogeny class
Curves	570m1 570m2 570m3 570m4	Curves in isogeny class
deg	96	Modular degree for the optimal curve
Eigenvalues	2- 3- 5-  4 -4 -2 -2 19+	Hecke eigenvalues for primes less than 20
L	3.0009972890661	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	4560u 18240k 1710d 2850b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 570m

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

---

Quadratic twists for isogeny class 570m

-4	8	-3	5	-7	-11	13	-19
4560u	18240k	1710d	2850b	27930ch	68970bi	96330bf	10830h

---

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