Cremona's table of elliptic curves

18060 = 2² · 3 · 5 · 7 · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7+ 43-	Signs for the Atkin-Lehner involutions
Class	18060n	Isogeny class
Conductor	18060	Conductor
∏ cp	84	Product of Tamagawa factors cp
deg	306432	Modular degree for the optimal curve
Δ	185802832031250000 = 24 · 3 · 514 · 73 · 432	Discriminant
Eigenvalues	2- 3- 5- 7+ -2  4  6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-608165,181164900]	[a1,a2,a3,a4,a6]
Generators	[-705:16125:1]	Generators of the group modulo torsion
j	1554779164316051439616/11612677001953125	j-invariant
L	6.5371089162794	L(r)(E,1)/r!
Ω	0.32118927123602	Real period
R	0.9691821260943	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	72240cf1 54180i1 90300m1 126420h1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 18060n1

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
-	-	-	+	-2	4	6	-6	-4	6	2	-2	-10	-	-8	-12	-4	-10	-4	-14	-16	-8	4	18	-8

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Quadratic twists for elliptic curve 18060n1

-4	-3	5	-7
72240cf1	54180i1	90300m1	126420h1

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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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