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	18060k	Isogeny class
Conductor	18060	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-89207075347488000 = -1 · 28 · 32 · 53 · 72 · 436	Discriminant
Eigenvalues	2- 3- 5+ 7-  0 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-179516,-32671980]	[a1,a2,a3,a4,a6]
Generators	[10010:330165:8]	Generators of the group modulo torsion
j	-2499169166314930384/348465138076125	j-invariant
L	5.6281770078019	L(r)(E,1)/r!
Ω	0.11507848364568	Real period
R	8.1512153409013	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	72240bf4 54180x4 90300a4 126420t4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 18060k4

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

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Quadratic twists for elliptic curve 18060k4

-4	-3	5	-7
72240bf4	54180x4	90300a4	126420t4

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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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