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	25	Product of Tamagawa factors cp
deg	100	Modular degree for the optimal curve
Δ	-785376 = -1 · 25 · 35 · 101	Discriminant
Eigenvalues	2- 3-  1 -2  2  4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-90,324]	[a1,a2,a3,a4,a6]
j	-80677568161/785376	j-invariant
L	2.8467624701374	L(r)(E,1)/r!
Ω	2.8467624701374	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	4848k1 19392d1 1818d1 15150f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 606f1

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 606f1

-4	8	-3	5	-7	-11	13	101
4848k1	19392d1	1818d1	15150f1	29694i1	73326m1	102414l1	61206a1

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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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