Cremona's table of elliptic curves

2006 = 2 · 17 · 59

Field	Data	Notes
Atkin-Lehner	2+ 17- 59+	Signs for the Atkin-Lehner involutions
Class	2006c	Isogeny class
Conductor	2006	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-243116158976 = -1 · 212 · 172 · 593	Discriminant
Eigenvalues	2+  1 -3 -1  0 -4 17- -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-27425,-1750508]	[a1,a2,a3,a4,a6]
j	-2281081786314874633/243116158976	j-invariant
L	0.74197967913496	L(r)(E,1)/r!
Ω	0.18549491978374	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	16048bc2 64192bd2 18054q2 50150z2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2006c2

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
+	1	-3	-1	0	-4	-	-1	6	-9	8	8	-3	8	6	3	+	2	8	-12	2	17	12	0	-16

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Quadratic twists for elliptic curve 2006c2

-4	8	-3	5	-7	17	-59
16048bc2	64192bd2	18054q2	50150z2	98294e2	34102f2	118354s2

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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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