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	20880bk	Isogeny class
Conductor	20880	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	-82103500800 = -1 · 222 · 33 · 52 · 29	Discriminant
Eigenvalues	2- 3+ 5-  0  4 -2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,213,-13734]	[a1,a2,a3,a4,a6]
Generators	[22:40:1]	Generators of the group modulo torsion
j	9663597/742400	j-invariant
L	5.9446876059405	L(r)(E,1)/r!
Ω	0.51486547278063	Real period
R	2.8865246944192	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	2610i1 83520dm1 20880bf1 104400cp1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20880bk1

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	-6	8	4	+	-2	-4	-2	-4	0	-6	-6	-4	-12	0	6	-14	-10	10	2

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Quadratic twists for elliptic curve 20880bk1

-4	8	-3	5
2610i1	83520dm1	20880bf1	104400cp1

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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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