Cremona's table of elliptic curves

5890 = 2 · 5 · 19 · 31

Field	Data	Notes
Atkin-Lehner	2+ 5- 19- 31-	Signs for the Atkin-Lehner involutions
Class	5890d	Isogeny class
Conductor	5890	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-1507840 = -1 · 29 · 5 · 19 · 31	Discriminant
Eigenvalues	2+ -2 5- -1  0  5 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-641083,-197622522]	[a1,a2,a3,a4,a6]
j	-29138387870618284576681/1507840	j-invariant
L	0.75924787391945	L(r)(E,1)/r!
Ω	0.084360874879939	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	47120n3 53010bq3 29450s3 111910p3	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 5890d3

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	-	-1	0	5	-3	-	-6	0	-	-7	6	8	9	-6	12	-10	5	9	-7	-10	-9	6	-19

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Quadratic twists for elliptic curve 5890d3

-4	-3	5	-19
47120n3	53010bq3	29450s3	111910p3

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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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