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	5520r	Isogeny class
Conductor	5520	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	7800422400 = 216 · 32 · 52 · 232	Discriminant
Eigenvalues	2- 3+ 5-  0 -4 -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1480,22000]	[a1,a2,a3,a4,a6]
Generators	[2:138:1]	Generators of the group modulo torsion
j	87587538121/1904400	j-invariant
L	3.3879775944582	L(r)(E,1)/r!
Ω	1.3148974945664	Real period
R	1.2883048330605	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	690f2 22080cm2 16560bp2 27600cw2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5520r2

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

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Quadratic twists for elliptic curve 5520r2

-4	8	-3	5	-23
690f2	22080cm2	16560bp2	27600cw2	126960z2

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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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