Cremona's table of elliptic curves

6006 = 2 · 3 · 7 · 11 · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 11- 13-	Signs for the Atkin-Lehner involutions
Class	6006bd	Isogeny class
Conductor	6006	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	-5.8102847480657E+22	Discriminant
Eigenvalues	2- 3- -2 7+ 11- 13- -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-16528694,-28347018150]	[a1,a2,a3,a4,a6]
Generators	[3159700:698021845:64]	Generators of the group modulo torsion
j	-499389414448500029215603297/58102847480656897356438	j-invariant
L	6.0797735379341	L(r)(E,1)/r!
Ω	0.037194572842046	Real period
R	5.1080818663325	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	48048bs5 18018h6 42042ck5 66066be5	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 6006bd6

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

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Quadratic twists for elliptic curve 6006bd6

-4	-3	-7	-11	13
48048bs5	18018h6	42042ck5	66066be5	78078bm5

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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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