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	18150bx	Isogeny class
Conductor	18150	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	43923000000000 = 29 · 3 · 59 · 114	Discriminant
Eigenvalues	2- 3+ 5+  1 11-  1  3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-48463,-4114219]	[a1,a2,a3,a4,a6]
Generators	[-125:162:1]	Generators of the group modulo torsion
j	55025549689/192000	j-invariant
L	6.8920788568447	L(r)(E,1)/r!
Ω	0.32183854675432	Real period
R	1.1897060612724	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	54450bq2 3630i2 18150f2	Quadratic twists by: -3 5 -11

Hecke Eigenvalues for elliptic curve 18150bx2

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	-	1	3	-1	-6	3	-4	1	0	4	-6	-6	-6	-10	-2	-15	4	-10	-3	12	-8

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Quadratic twists for elliptic curve 18150bx2

-3	5	-11
54450bq2	3630i2	18150f2

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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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