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	5890h	Isogeny class
Conductor	5890	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	138768400 = 24 · 52 · 192 · 312	Discriminant
Eigenvalues	2-  0 5-  0  0 -2  6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-147,419]	[a1,a2,a3,a4,a6]
j	349062369921/138768400	j-invariant
L	3.3460029558498	L(r)(E,1)/r!
Ω	1.6730014779249	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	47120o2 53010j2 29450c2 111910i2	Quadratic twists by: -4 -3 5 -19

Hecke Eigenvalues for elliptic curve 5890h2

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
-	0	-	0	0	-2	6	+	8	-6	-	6	-6	12	0	14	-12	-10	4	0	6	8	4	14	-14

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Quadratic twists for elliptic curve 5890h2

-4	-3	5	-19
47120o2	53010j2	29450c2	111910i2

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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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