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	18060o	Isogeny class
Conductor	18060	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-1043723520 = -1 · 28 · 32 · 5 · 72 · 432	Discriminant
Eigenvalues	2- 3- 5- 7-  0  0 -4  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,140,-1372]	[a1,a2,a3,a4,a6]
Generators	[8:18:1]	Generators of the group modulo torsion
j	1176960944/4077045	j-invariant
L	6.784705169267	L(r)(E,1)/r!
Ω	0.7928183470164	Real period
R	1.4262840903383	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	72240bx2 54180k2 90300f2 126420b2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 18060o2

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
-	-	-	-	0	0	-4	4	-8	2	-10	0	10	+	-8	-2	-14	-2	12	-10	2	0	-4	6	-12

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Quadratic twists for elliptic curve 18060o2

-4	-3	5	-7
72240bx2	54180k2	90300f2	126420b2

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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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