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	18150cp	Isogeny class
Conductor	18150	Conductor
∏ cp	192	Product of Tamagawa factors cp
Δ	3.4682977683105E+20	Discriminant
Eigenvalues	2- 3- 5+  0 11-  6  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-517532188,4531583855492]	[a1,a2,a3,a4,a6]
j	553808571467029327441/12529687500	j-invariant
L	5.9272746120054	L(r)(E,1)/r!
Ω	0.12348488775011	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	54450bp6 3630d5 1650h5	Quadratic twists by: -3 5 -11

Hecke Eigenvalues for elliptic curve 18150cp5

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	-	6	2	4	0	10	0	-6	-2	4	8	10	-4	2	4	-8	2	8	-12	-6	-18

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Quadratic twists for elliptic curve 18150cp5

-3	5	-11
54450bp6	3630d5	1650h5

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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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