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	192	Product of Tamagawa factors cp
Δ	2922941863416268800 = 211 · 36 · 52 · 238	Discriminant
Eigenvalues	2+ 3- 5-  0  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-870880,301514900]	[a1,a2,a3,a4,a6]
j	35667215800077781442/1427217706746225	j-invariant
L	3.0207718831009	L(r)(E,1)/r!
Ω	0.25173099025841	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	2760f5 22080bw6 16560k5 27600a6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5520k5

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 5520k5

-4	8	-3	5	-23
2760f5	22080bw6	16560k5	27600a6	126960m6

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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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