Cremona's table of elliptic curves

2064 = 2⁴ · 3 · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 43+	Signs for the Atkin-Lehner involutions
Class	2064j	Isogeny class
Conductor	2064	Conductor
∏ cp	28	Product of Tamagawa factors cp
deg	4704	Modular degree for the optimal curve
Δ	6310984679424 = 226 · 37 · 43	Discriminant
Eigenvalues	2- 3- -2 -2  0  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-30664,-2073484]	[a1,a2,a3,a4,a6]
Generators	[-100:54:1]	Generators of the group modulo torsion
j	778510269523657/1540767744	j-invariant
L	3.1297727482685	L(r)(E,1)/r!
Ω	0.36082183342497	Real period
R	1.2391445062117	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	258b1 8256bj1 6192p1 51600ca1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2064j1

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

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Quadratic twists for elliptic curve 2064j1

-4	8	-3	5	-7	-43
258b1	8256bj1	6192p1	51600ca1	101136bd1	88752q1

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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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