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	606c	Isogeny class
Conductor	606	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	48	Modular degree for the optimal curve
Δ	-1818 = -1 · 2 · 32 · 101	Discriminant
Eigenvalues	2- 3+  0 -1  2  2  3  7	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-33,-87]	[a1,a2,a3,a4,a6]
j	-3981876625/1818	j-invariant
L	1.9915474292268	L(r)(E,1)/r!
Ω	0.99577371461341	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	4848o1 19392r1 1818e1 15150j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 606c1

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
-	+	0	-1	2	2	3	7	8	-7	-2	2	0	1	8	1	6	-5	-12	6	-6	6	-16	0	-7

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Quadratic twists for elliptic curve 606c1

-4	8	-3	5	-7	-11	13	101
4848o1	19392r1	1818e1	15150j1	29694m1	73326e1	102414a1	61206g1

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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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