Cremona's table of elliptic curves

606 = 2 · 3 · 101

Field	Data	Notes
Atkin-Lehner	2+ 3- 101+	Signs for the Atkin-Lehner involutions
Class	606a	Isogeny class
Conductor	606	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	22477046616 = 23 · 33 · 1014	Discriminant
Eigenvalues	2+ 3-  2  4  4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1365,17896]	[a1,a2,a3,a4,a6]
j	280972764518473/22477046616	j-invariant
L	1.766190571544	L(r)(E,1)/r!
Ω	1.1774603810293	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	4848h3 19392i4 1818m3 15150x4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 606a4

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

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Quadratic twists for elliptic curve 606a4

-4	8	-3	5	-7	-11	13	101
4848h3	19392i4	1818m3	15150x4	29694d3	73326bn3	102414s3	61206j3

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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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