Cremona's table of elliptic curves

5580 = 2² · 3² · 5 · 31

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 31-	Signs for the Atkin-Lehner involutions
Class	5580f	Isogeny class
Conductor	5580	Conductor
∏ cp	27	Product of Tamagawa factors cp
Δ	-694964448000 = -1 · 28 · 36 · 53 · 313	Discriminant
Eigenvalues	2- 3- 5- -4  0  2  3 -7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,528,-39836]	[a1,a2,a3,a4,a6]
Generators	[108:1130:1]	Generators of the group modulo torsion
j	87228416/3723875	j-invariant
L	3.7470986288944	L(r)(E,1)/r!
Ω	0.43437204374583	Real period
R	2.8754909398105	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	22320bx2 89280bu2 620a2 27900m2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5580f2

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
-	-	-	-4	0	2	3	-7	0	6	-	5	3	-1	-6	-9	3	-4	-10	-3	-1	-10	9	-12	2

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Quadratic twists for elliptic curve 5580f2

-4	8	-3	5
22320bx2	89280bu2	620a2	27900m2

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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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