Atkin-Lehner |
2- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64064bk |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-119333285046976 = -1 · 26 · 73 · 114 · 135 |
Discriminant |
Eigenvalues |
2- 2 1 7- 11+ 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63525,-6163861] |
[a1,a2,a3,a4,a6] |
j |
-442980486619070464/1864582578859 |
j-invariant |
L |
4.5096691942275 |
L(r)(E,1)/r! |
Ω |
0.15032230643546 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64064j1 16016l1 |
Quadratic twists by: -4 8 |