Cremona's table of elliptic curves

41064 = 2³ · 3 · 29 · 59

Field	Data	Notes
Atkin-Lehner	2- 3+ 29- 59-	Signs for the Atkin-Lehner involutions
Class	41064g	Isogeny class
Conductor	41064	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	43776	Modular degree for the optimal curve
Δ	9946029312 = 28 · 33 · 293 · 59	Discriminant
Eigenvalues	2- 3+ -4  1 -6 -2  6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-585,2781]	[a1,a2,a3,a4,a6]
Generators	[-1:-58:1] [-4:71:1]	Generators of the group modulo torsion
j	86635027456/38851677	j-invariant
L	6.013233252494	L(r)(E,1)/r!
Ω	1.1580391813297	Real period
R	0.86543318934297	Regulator
r	2	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	82128h1 123192c1	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 41064g1

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
-	+	-4	1	-6	-2	6	-6	-3	-	-1	7	-11	-3	2	-6	-	6	-2	-6	-9	6	4	12	-9

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Quadratic twists for elliptic curve 41064g1

-4	-3
82128h1	123192c1

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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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