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
deg	198	Modular degree for the optimal curve
Δ	-11169792 = -1 · 212 · 33 · 101	Discriminant
Eigenvalues	2+ 3-  2  4  4 -2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,35,-136]	[a1,a2,a3,a4,a6]
j	4939055927/11169792	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	4848h1 19392i1 1818m1 15150x1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 606a1

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 606a1

-4	8	-3	5	-7	-11	13	101
4848h1	19392i1	1818m1	15150x1	29694d1	73326bn1	102414s1	61206j1

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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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