Cremona's table of elliptic curves

5520 = 2⁴ · 3 · 5 · 23

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 23-	Signs for the Atkin-Lehner involutions
Class	5520u	Isogeny class
Conductor	5520	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	1202856733916160000 = 213 · 3 · 54 · 238	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-413280,87734400]	[a1,a2,a3,a4,a6]
j	1905890658841300321/293666194803750	j-invariant
L	1.0476525084187	L(r)(E,1)/r!
Ω	0.26191312710467	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	690k5 22080cr6 16560bi5 27600ch6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5520u5

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	-4	-2	-6	-4	-	-2	0	-2	10	4	0	6	4	-10	12	8	10	8	4	18	2

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Quadratic twists for elliptic curve 5520u5

-4	8	-3	5	-23
690k5	22080cr6	16560bi5	27600ch6	126960ba6

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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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