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	570j	Isogeny class
Conductor	570	Conductor
∏ cp	28	Product of Tamagawa factors cp
deg	560	Modular degree for the optimal curve
Δ	-1817528220 = -1 · 22 · 314 · 5 · 19	Discriminant
Eigenvalues	2- 3- 5+  2 -4  6  4 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1456,-21604]	[a1,a2,a3,a4,a6]
j	-341370886042369/1817528220	j-invariant
L	2.7041914207916	L(r)(E,1)/r!
Ω	0.38631306011309	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4560m1 18240p1 1710i1 2850c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 570j1

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

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Quadratic twists for elliptic curve 570j1

-4	8	-3	5	-7	-11	13	-19
4560m1	18240p1	1710i1	2850c1	27930cq1	68970y1	96330bm1	10830d1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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