Atkin-Lehner |
2- 3- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
64050ct |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
1064 |
Product of Tamagawa factors cp |
deg |
1123584 |
Modular degree for the optimal curve |
Δ |
-936921945931776000 = -1 · 219 · 314 · 53 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -3 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,44702,46431812] |
[a1,a2,a3,a4,a6] |
Generators |
[1652:67214:1] |
Generators of the group modulo torsion |
j |
79030358965812619/7495375567454208 |
j-invariant |
L |
12.179726201624 |
L(r)(E,1)/r! |
Ω |
0.21392968116868 |
Real period |
R |
0.053508755909546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64050j1 |
Quadratic twists by: 5 |