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	6050bb	Isogeny class
Conductor	6050	Conductor
∏ cp	96	Product of Tamagawa factors cp
Δ	-19190251520000000 = -1 · 224 · 57 · 114	Discriminant
Eigenvalues	2- -1 5+  1 11-  4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,60437,3448281]	[a1,a2,a3,a4,a6]
Generators	[275:-6538:1]	Generators of the group modulo torsion
j	106718863559/83886080	j-invariant
L	5.083216201065	L(r)(E,1)/r!
Ω	0.24819192205605	Real period
R	0.21334364278438	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	48400bw2 54450bt2 1210e2 6050f2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 6050bb2

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	-	4	0	-4	0	-6	-10	-8	-3	1	-9	12	6	11	1	-6	-8	14	12	-15	-8

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Quadratic twists for elliptic curve 6050bb2

-4	-3	5	-11
48400bw2	54450bt2	1210e2	6050f2

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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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