Cremona's table of elliptic curves

6464 = 2⁶ · 101

Field	Data	Notes
Atkin-Lehner	2- 101-	Signs for the Atkin-Lehner involutions
Class	6464m	Isogeny class
Conductor	6464	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	896	Modular degree for the optimal curve
Δ	-13238272 = -1 · 217 · 101	Discriminant
Eigenvalues	2-  0  2  1  0 -4  5  5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-44,208]	[a1,a2,a3,a4,a6]
Generators	[-6:16:1]	Generators of the group modulo torsion
j	-71874/101	j-invariant
L	4.5045981064377	L(r)(E,1)/r!
Ω	2.0163816467777	Real period
R	0.55850018691109	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	6464e1 1616a1 58176bv1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 6464m1

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	2	1	0	-4	5	5	-6	-9	-4	8	0	-1	-10	7	4	3	-2	-6	-4	-10	4	8	-11

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Quadratic twists for elliptic curve 6464m1

-4	8	-3
6464e1	1616a1	58176bv1

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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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