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	570e1 570e2 570e3 570e4	Curves in isogeny class
deg	128	Modular degree for the optimal curve
Eigenvalues	2+ 3- 5- -4 -4 -6 -6 19+	Hecke eigenvalues for primes less than 20
L	1.7232305643043	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	4560t 18240l 1710n 2850p	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 570e

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

---

Quadratic twists for isogeny class 570e

-4	8	-3	5	-7	-11	13	-19
4560t	18240l	1710n	2850p	27930i	68970cw	96330db	10830y

---

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