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	1000	Product of Tamagawa factors cp
Δ	11219310000000000 = 210 · 310 · 510 · 19	Discriminant
Eigenvalues	2- 3- 5- -2  2  4 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-87945,-8655975]	[a1,a2,a3,a4,a6]
j	75224183150104868881/11219310000000000	j-invariant
L	2.800031251919	L(r)(E,1)/r!
Ω	0.2800031251919	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	10	Number of elements in the torsion subgroup
Twists	4560s2 18240h2 1710c2 2850a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 570l2

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

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Quadratic twists for elliptic curve 570l2

-4	8	-3	5	-7	-11	13	-19
4560s2	18240h2	1710c2	2850a2	27930cd2	68970bg2	96330bc2	10830g2

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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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