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	5220d	Isogeny class
Conductor	5220	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-192019474800 = -1 · 24 · 39 · 52 · 293	Discriminant
Eigenvalues	2- 3+ 5- -1  3 -1 -3  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,1323,-10071]	[a1,a2,a3,a4,a6]
Generators	[48:405:1]	Generators of the group modulo torsion
j	813189888/609725	j-invariant
L	4.0784334018109	L(r)(E,1)/r!
Ω	0.56368141861794	Real period
R	1.8088379655172	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	20880bl2 83520e2 5220a1 26100a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5220d2

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 5220d2

-4	8	-3	5
20880bl2	83520e2	5220a1	26100a2

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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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