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	5220p	Isogeny class
Conductor	5220	Conductor
∏ cp	216	Product of Tamagawa factors cp
Δ	-120012171750000 = -1 · 24 · 39 · 56 · 293	Discriminant
Eigenvalues	2- 3- 5- -1  3 -1 -3 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4377,538729]	[a1,a2,a3,a4,a6]
Generators	[-55:783:1]	Generators of the group modulo torsion
j	-795070868224/10289109375	j-invariant
L	4.0593758631305	L(r)(E,1)/r!
Ω	0.49982095297451	Real period
R	0.33840250185029	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	20880cl2 83520t2 1740e2 26100t2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5220p2

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	-4	0	-	-4	-4	6	-10	9	-12	0	2	5	-6	-16	-4	12	9	-4

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Quadratic twists for elliptic curve 5220p2

-4	8	-3	5
20880cl2	83520t2	1740e2	26100t2

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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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