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	5520d	Isogeny class
Conductor	5520	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	21120	Modular degree for the optimal curve
Δ	-184180331658240 = -1 · 210 · 35 · 5 · 236	Discriminant
Eigenvalues	2+ 3+ 5-  0 -2  0  6 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-32040,-2291328]	[a1,a2,a3,a4,a6]
Generators	[622:14766:1]	Generators of the group modulo torsion
j	-3552342505518244/179863605135	j-invariant
L	3.5023624994927	L(r)(E,1)/r!
Ω	0.17789604737361	Real period
R	3.2812819164153	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	2760j1 22080cp1 16560i1 27600t1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5520d1

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	-2	0	6	-8	-	-8	8	-2	6	-6	4	-6	0	2	2	-14	6	-16	0	16	-4

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Quadratic twists for elliptic curve 5520d1

-4	8	-3	5	-23
2760j1	22080cp1	16560i1	27600t1	126960a1

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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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