Cremona's table of elliptic curves

18150 = 2 · 3 · 5² · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 11-	Signs for the Atkin-Lehner involutions
Class	18150df	Isogeny class
Conductor	18150	Conductor
∏ cp	30	Product of Tamagawa factors cp
Δ	22302720000 = 215 · 32 · 54 · 112	Discriminant
Eigenvalues	2- 3- 5-  1 11- -2 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-12713,550617]	[a1,a2,a3,a4,a6]
Generators	[58:67:1]	Generators of the group modulo torsion
j	3004724101225/294912	j-invariant
L	9.3025394731834	L(r)(E,1)/r!
Ω	1.1547150365739	Real period
R	0.26853781174112	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	54450cw2 18150g2 18150bo2	Quadratic twists by: -3 5 -11

Hecke Eigenvalues for elliptic curve 18150df2

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
-	-	-	1	-	-2	-6	-2	3	-6	5	2	-3	-8	3	-6	0	-8	-4	0	-11	4	6	-3	5

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Quadratic twists for elliptic curve 18150df2

-3	5	-11
54450cw2	18150g2	18150bo2

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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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