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	6060c	Isogeny class
Conductor	6060	Conductor
∏ cp	15	Product of Tamagawa factors cp
deg	1320	Modular degree for the optimal curve
Δ	-15150000 = -1 · 24 · 3 · 55 · 101	Discriminant
Eigenvalues	2- 3+ 5- -1 -1  6 -3 -7	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-25,202]	[a1,a2,a3,a4,a6]
Generators	[9:-25:1]	Generators of the group modulo torsion
j	-112377856/946875	j-invariant
L	3.5471436411211	L(r)(E,1)/r!
Ω	1.8957373917031	Real period
R	0.12474103416242	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	24240bk1 96960be1 18180a1 30300i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6060c1

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	-1	6	-3	-7	-5	2	7	8	9	-2	-13	-4	-12	-10	3	-2	7	-3	2	3	-12

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Quadratic twists for elliptic curve 6060c1

-4	8	-3	5
24240bk1	96960be1	18180a1	30300i1

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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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