Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320bd |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
514560000 = 212 · 3 · 54 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-201,-201] |
[a1,a2,a3,a4,a6] |
Generators |
[35:192:1] |
Generators of the group modulo torsion |
j |
220348864/125625 |
j-invariant |
L |
7.3867750528069 |
L(r)(E,1)/r! |
Ω |
1.3711319633809 |
Real period |
R |
2.69367765101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000159 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320a1 32160q1 |
Quadratic twists by: -4 8 |