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	606d	Isogeny class
Conductor	606	Conductor
∏ cp	7	Product of Tamagawa factors cp
deg	1428	Modular degree for the optimal curve
Δ	-1669524027264 = -1 · 27 · 317 · 101	Discriminant
Eigenvalues	2- 3+  3  2  2 -4 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-1314,-65361]	[a1,a2,a3,a4,a6]
j	-250917218570017/1669524027264	j-invariant
L	2.4694031751289	L(r)(E,1)/r!
Ω	0.35277188216127	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	4848p1 19392u1 1818f1 15150k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 606d1

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
-	+	3	2	2	-4	-6	4	-4	8	7	-4	9	-8	8	-14	-6	-5	3	-6	-12	-3	14	9	-13

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Quadratic twists for elliptic curve 606d1

-4	8	-3	5	-7	-11	13	101
4848p1	19392u1	1818f1	15150k1	29694o1	73326j1	102414c1	61206h1

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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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