Cremona's table of elliptic curves

2020 = 2² · 5 · 101

Field	Data	Notes
Atkin-Lehner	2- 5- 101+	Signs for the Atkin-Lehner involutions
Class	2020a	Isogeny class
Conductor	2020	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	240	Modular degree for the optimal curve
Δ	40400 = 24 · 52 · 101	Discriminant
Eigenvalues	2-  0 5-  4 -6  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-32,69]	[a1,a2,a3,a4,a6]
Generators	[-1:10:1]	Generators of the group modulo torsion
j	226492416/2525	j-invariant
L	3.2482834307389	L(r)(E,1)/r!
Ω	3.6431102892468	Real period
R	1.7832473753687	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	8080f1 32320d1 18180c1 10100a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2020a1

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	-6	2	-6	-4	0	-10	-8	2	-2	-4	8	-4	-6	-2	12	4	16	-4	12	-18	10

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Quadratic twists for elliptic curve 2020a1

-4	8	-3	5	-7
8080f1	32320d1	18180c1	10100a1	98980a1

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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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