Cremona's table of elliptic curves

6020 = 2² · 5 · 7 · 43

Field	Data	Notes
Atkin-Lehner	2- 5+ 7- 43+	Signs for the Atkin-Lehner involutions
Class	6020a	Isogeny class
Conductor	6020	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	3120	Modular degree for the optimal curve
Δ	-10354400000 = -1 · 28 · 55 · 7 · 432	Discriminant
Eigenvalues	2-  1 5+ 7- -5  1  7  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-621,-7921]	[a1,a2,a3,a4,a6]
Generators	[61:430:1]	Generators of the group modulo torsion
j	-103623368704/40446875	j-invariant
L	4.3139381059188	L(r)(E,1)/r!
Ω	0.46905750923135	Real period
R	1.532839087254	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	24080i1 96320bd1 54180w1 30100c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6020a1

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
-	1	+	-	-5	1	7	0	2	-3	4	-4	-2	+	3	-6	8	-4	-14	-8	-2	1	-4	18	-17

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Quadratic twists for elliptic curve 6020a1

-4	8	-3	5	-7
24080i1	96320bd1	54180w1	30100c1	42140c1

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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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