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	570f	Isogeny class
Conductor	570	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	1806561830400 = 29 · 3 · 52 · 196	Discriminant
Eigenvalues	2+ 3- 5-  2  0  2  0 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-7478,-240952]	[a1,a2,a3,a4,a6]
j	46237740924063961/1806561830400	j-invariant
L	1.543923095703	L(r)(E,1)/r!
Ω	0.514641031901	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	4560r4 18240c4 1710o4 2850r4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 570f4

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

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Quadratic twists for elliptic curve 570f4

-4	8	-3	5	-7	-11	13	-19
4560r4	18240c4	1710o4	2850r4	27930b4	68970cu4	96330cx4	10830x4

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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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