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	5520g	Isogeny class
Conductor	5520	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	2384640000 = 211 · 34 · 54 · 23	Discriminant
Eigenvalues	2+ 3- 5+  0 -4  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1056,-13356]	[a1,a2,a3,a4,a6]
Generators	[-18:12:1]	Generators of the group modulo torsion
j	63649751618/1164375	j-invariant
L	4.3228392506462	L(r)(E,1)/r!
Ω	0.83836205171991	Real period
R	0.64453645679958	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	2760d3 22080ch4 16560r3 27600b4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5520g3

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	-4	2	2	0	-	-6	0	-6	2	-12	0	10	12	-6	-12	12	2	-16	-16	14	6

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Quadratic twists for elliptic curve 5520g3

-4	8	-3	5	-23
2760d3	22080ch4	16560r3	27600b4	126960r4

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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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