Cremona's table of elliptic curves

5220 = 2² · 3² · 5 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 29-	Signs for the Atkin-Lehner involutions
Class	5220a	Isogeny class
Conductor	5220	Conductor
∏ cp	36	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	-263401200 = -1 · 24 · 33 · 52 · 293	Discriminant
Eigenvalues	2- 3+ 5+ -1 -3 -1  3  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,147,373]	[a1,a2,a3,a4,a6]
Generators	[-1:15:1]	Generators of the group modulo torsion
j	813189888/609725	j-invariant
L	3.435638170872	L(r)(E,1)/r!
Ω	1.1153776080482	Real period
R	0.7700616692682	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	20880bg1 83520k1 5220d2 26100f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5220a1

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
-	+	+	-1	-3	-1	3	2	6	-	-4	-4	6	-4	3	-6	0	8	5	6	-10	8	6	-9	-10

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Quadratic twists for elliptic curve 5220a1

-4	8	-3	5
20880bg1	83520k1	5220d2	26100f1

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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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