Cremona's table of elliptic curves

54150 = 2 · 3 · 5² · 19²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 19-	Signs for the Atkin-Lehner involutions
Class	54150l	Isogeny class
Conductor	54150	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	43200	Modular degree for the optimal curve
Δ	-22844531250 = -1 · 2 · 34 · 58 · 192	Discriminant
Eigenvalues	2+ 3+ 5-  2  5  0  1 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,50,-7250]	[a1,a2,a3,a4,a6]
Generators	[85:745:1]	Generators of the group modulo torsion
j	95/162	j-invariant
L	4.4974328225353	L(r)(E,1)/r!
Ω	0.55922632728449	Real period
R	1.3403734776565	Regulator
r	1	Rank of the group of rational points
S	0.99999999998646	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	54150cp1 54150cu1	Quadratic twists by: 5 -19

Hecke Eigenvalues for elliptic curve 54150l1

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
+	+	-	2	5	0	1	-	0	-8	-4	-4	7	4	0	-6	5	8	5	6	-10	-4	-4	-15	-1

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Quadratic twists for elliptic curve 54150l1

5	-19
54150cp1	54150cu1

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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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