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	5520bg	Isogeny class
Conductor	5520	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	3456	Modular degree for the optimal curve
Δ	-1170063360 = -1 · 214 · 33 · 5 · 232	Discriminant
Eigenvalues	2- 3- 5- -4 -2  4 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-200,1908]	[a1,a2,a3,a4,a6]
Generators	[-2:48:1]	Generators of the group modulo torsion
j	-217081801/285660	j-invariant
L	4.4348503966081	L(r)(E,1)/r!
Ω	1.39092064234	Real period
R	0.53140467562874	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	690d1 22080bz1 16560bn1 27600bn1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5520bg1

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
-	-	-	-4	-2	4	-6	4	-	8	-8	-10	6	-6	4	-14	-4	6	-14	-10	14	8	4	0	-8

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Quadratic twists for elliptic curve 5520bg1

-4	8	-3	5	-23
690d1	22080bz1	16560bn1	27600bn1	126960cs1

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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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