Atkin-Lehner |
2- 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
63206g |
Isogeny class |
Conductor |
63206 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
658944 |
Modular degree for the optimal curve |
Δ |
-6872916349325312 = -1 · 212 · 112 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 1 0 -1 11+ 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-459768,120021056] |
[a1,a2,a3,a4,a6] |
j |
-13176290934625/8425472 |
j-invariant |
L |
3.3294587888291 |
L(r)(E,1)/r! |
Ω |
0.41618235049516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
63206d1 |
Quadratic twists by: 13 |