Cremona's table of elliptic curves

6050 = 2 · 5² · 11²

Field	Data	Notes
Atkin-Lehner	2+ 5- 11-	Signs for the Atkin-Lehner involutions
Class	6050n	Isogeny class
Conductor	6050	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-81735119273984000 = -1 · 225 · 53 · 117	Discriminant
Eigenvalues	2+ -1 5- -3 11- -4 -3  5	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-3669690,-2707342700]	[a1,a2,a3,a4,a6]
Generators	[2305:31820:1]	Generators of the group modulo torsion
j	-24680042791780949/369098752	j-invariant
L	1.8904706585757	L(r)(E,1)/r!
Ω	0.054539582525316	Real period
R	4.332795033997	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	48400cx3 54450hh3 6050bj3 550k3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 6050n3

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	-	-3	-	-4	-3	5	4	-5	7	-7	8	6	8	9	0	13	-12	-3	6	0	-4	-15	-12

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Quadratic twists for elliptic curve 6050n3

-4	-3	5	-11
48400cx3	54450hh3	6050bj3	550k3

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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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