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	6050k	Isogeny class
Conductor	6050	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	4320	Modular degree for the optimal curve
Δ	-974358550 = -1 · 2 · 52 · 117	Discriminant
Eigenvalues	2+  2 5+ -4 11-  5  0  7	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,240,-370]	[a1,a2,a3,a4,a6]
j	34295/22	j-invariant
L	1.7928466309126	L(r)(E,1)/r!
Ω	0.89642331545629	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	48400cq1 54450gh1 6050bn1 550h1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 6050k1

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	+	-4	-	5	0	7	-3	-3	5	4	-12	5	0	-6	12	10	-14	3	8	4	-15	3	13

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Quadratic twists for elliptic curve 6050k1

-4	-3	5	-11
48400cq1	54450gh1	6050bn1	550h1

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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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