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	570d	Isogeny class
Conductor	570	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	2240	Modular degree for the optimal curve
Δ	-117739817533440 = -1 · 228 · 35 · 5 · 192	Discriminant
Eigenvalues	2+ 3- 5+  4  0  2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,3676,-514654]	[a1,a2,a3,a4,a6]
j	5495662324535111/117739817533440	j-invariant
L	1.4325831504345	L(r)(E,1)/r!
Ω	0.28651663008689	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	4560q1 18240x1 1710s1 2850q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 570d1

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

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Quadratic twists for elliptic curve 570d1

-4	8	-3	5	-7	-11	13	-19
4560q1	18240x1	1710s1	2850q1	27930t1	68970cq1	96330di1	10830u1

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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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