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	606f	Isogeny class
Conductor	606	Conductor
∏ cp	5	Product of Tamagawa factors cp
Δ	-63060603006 = -1 · 2 · 3 · 1015	Discriminant
Eigenvalues	2- 3-  1 -2  2  4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,600,-10626]	[a1,a2,a3,a4,a6]
j	23885383766399/63060603006	j-invariant
L	2.8467624701374	L(r)(E,1)/r!
Ω	0.56935249402749	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	4848k2 19392d2 1818d2 15150f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 606f2

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
-	-	1	-2	2	4	-2	0	4	0	7	-12	-3	4	-12	-6	-10	-3	13	2	4	5	-6	5	3

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Quadratic twists for elliptic curve 606f2

-4	8	-3	5	-7	-11	13	101
4848k2	19392d2	1818d2	15150f2	29694i2	73326m2	102414l2	61206a2

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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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