Cremona's table of elliptic curves

20880 = 2⁴ · 3² · 5 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 29-	Signs for the Atkin-Lehner involutions
Class	20880bz	Isogeny class
Conductor	20880	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	9216	Modular degree for the optimal curve
Δ	1226178000 = 24 · 36 · 53 · 292	Discriminant
Eigenvalues	2- 3- 5+  2 -4 -6  4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-288,-837]	[a1,a2,a3,a4,a6]
j	226492416/105125	j-invariant
L	1.211813028985	L(r)(E,1)/r!
Ω	1.211813028985	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5220l1 83520fq1 2320h1 104400eu1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20880bz1

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
-	-	+	2	-4	-6	4	-4	6	-	0	-8	2	-4	-4	2	8	10	10	-8	0	-8	-6	-6	-12

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Quadratic twists for elliptic curve 20880bz1

-4	8	-3	5
5220l1	83520fq1	2320h1	104400eu1

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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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