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	18060a	Isogeny class
Conductor	18060	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	-1929844788480 = -1 · 28 · 32 · 5 · 72 · 434	Discriminant
Eigenvalues	2- 3+ 5+ 7+ -2  4  2 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-12916,573256]	[a1,a2,a3,a4,a6]
Generators	[-2:774:1]	Generators of the group modulo torsion
j	-930896676859984/7538456205	j-invariant
L	3.5842767796571	L(r)(E,1)/r!
Ω	0.83563863685103	Real period
R	0.35743887185932	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	72240co2 54180t2 90300bm2 126420bs2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 18060a2

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

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Quadratic twists for elliptic curve 18060a2

-4	-3	5	-7
72240co2	54180t2	90300bm2	126420bs2

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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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