Cremona's table of elliptic curves

5046 = 2 · 3 · 29²

Field	Data	Notes
Atkin-Lehner	2+ 3- 29+	Signs for the Atkin-Lehner involutions
Class	5046d	Isogeny class
Conductor	5046	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	10080	Modular degree for the optimal curve
Δ	-931493320686 = -1 · 2 · 33 · 297	Discriminant
Eigenvalues	2+ 3-  1  1 -6 -4  7  3	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-4223,-115720]	[a1,a2,a3,a4,a6]
j	-13997521/1566	j-invariant
L	1.7656292742286	L(r)(E,1)/r!
Ω	0.29427154570477	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	40368u1 15138u1 126150bw1 174c1	Quadratic twists by: -4 -3 5 29

Hecke Eigenvalues for elliptic curve 5046d1

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	-6	-4	7	3	4	+	0	7	-5	5	5	10	3	-10	0	-4	-10	6	16	10	8

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Quadratic twists for elliptic curve 5046d1

-4	-3	5	29
40368u1	15138u1	126150bw1	174c1

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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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