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	570h	Isogeny class
Conductor	570	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	54150 = 2 · 3 · 52 · 192	Discriminant
Eigenvalues	2- 3+ 5- -2  0  6  8 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-30,-75]	[a1,a2,a3,a4,a6]
j	2992209121/54150	j-invariant
L	2.0418363509217	L(r)(E,1)/r!
Ω	2.0418363509217	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	4560ba2 18240bb2 1710f2 2850k2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 570h2

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

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Quadratic twists for elliptic curve 570h2

-4	8	-3	5	-7	-11	13	-19
4560ba2	18240bb2	1710f2	2850k2	27930cx2	68970m2	96330b2	10830o2

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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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