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	18060m	Isogeny class
Conductor	18060	Conductor
∏ cp	480	Product of Tamagawa factors cp
Δ	-475546528800000 = -1 · 28 · 38 · 55 · 72 · 432	Discriminant
Eigenvalues	2- 3- 5- 7+  0  0  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,8540,1007108]	[a1,a2,a3,a4,a6]
Generators	[116:-1890:1]	Generators of the group modulo torsion
j	269033588026544/1857603628125	j-invariant
L	6.2496519875632	L(r)(E,1)/r!
Ω	0.38189895897319	Real period
R	0.13637228383581	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	72240ce2 54180h2 90300j2 126420f2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 18060m2

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	0	-4	-8	-10	10	8	6	-	-12	14	-6	-2	12	-2	2	8	-16	-10	4

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Quadratic twists for elliptic curve 18060m2

-4	-3	5	-7
72240ce2	54180h2	90300j2	126420f2

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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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