Cremona's table of elliptic curves

6060 = 2² · 3 · 5 · 101

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 101+	Signs for the Atkin-Lehner involutions
Class	6060a	Isogeny class
Conductor	6060	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	1800	Modular degree for the optimal curve
Δ	-49086000 = -1 · 24 · 35 · 53 · 101	Discriminant
Eigenvalues	2- 3+ 5+ -1  5  2  3  7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-41,366]	[a1,a2,a3,a4,a6]
j	-488095744/3067875	j-invariant
L	1.7309329341556	L(r)(E,1)/r!
Ω	1.7309329341556	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	24240be1 96960bp1 18180f1 30300j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6060a1

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	5	2	3	7	-1	2	-11	8	-3	10	-1	4	12	-2	15	-6	-3	-9	-10	-9	-16

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Quadratic twists for elliptic curve 6060a1

-4	8	-3	5
24240be1	96960bp1	18180f1	30300j1

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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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