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	5520k	Isogeny class
Conductor	5520	Conductor
∏ cp	384	Product of Tamagawa factors cp
Δ	-7649547509680588800 = -1 · 211 · 324 · 52 · 232	Discriminant
Eigenvalues	2+ 3- 5-  0  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,387120,-95330700]	[a1,a2,a3,a4,a6]
j	3132776881711582558/3735130619961225	j-invariant
L	3.0207718831009	L(r)(E,1)/r!
Ω	0.12586549512921	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	2760f6 22080bw5 16560k6 27600a5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5520k6

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

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Quadratic twists for elliptic curve 5520k6

-4	8	-3	5	-23
2760f6	22080bw5	16560k6	27600a5	126960m5

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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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