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
Class	570l	Isogeny class
Conductor	570	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-1471455901872240 = -1 · 24 · 3 · 5 · 1910	Discriminant
Eigenvalues	2- 3- 5- -2  2  4 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3301465,-2309192023]	[a1,a2,a3,a4,a6]
j	-3979640234041473454886161/1471455901872240	j-invariant
L	2.800031251919	L(r)(E,1)/r!
Ω	0.05600062503838	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	25	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4560s3 18240h3 1710c3 2850a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 570l3

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

---

Quadratic twists for elliptic curve 570l3

-4	8	-3	5	-7	-11	13	-19
4560s3	18240h3	1710c3	2850a3	27930cd3	68970bg3	96330bc3	10830g3

---

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