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	40	Product of Tamagawa factors cp
Δ	805586668007040 = 27 · 320 · 5 · 192	Discriminant
Eigenvalues	2+ 3- 5+  4  0  2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1233444,-527363678]	[a1,a2,a3,a4,a6]
j	207530301091125281552569/805586668007040	j-invariant
L	1.4325831504345	L(r)(E,1)/r!
Ω	0.14325831504345	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	4560q4 18240x3 1710s4 2850q3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 570d3

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 570d3

-4	8	-3	5	-7	-11	13	-19
4560q4	18240x3	1710s4	2850q3	27930t4	68970cq4	96330di4	10830u4

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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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