Atkin-Lehner |
2+ 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
8710b |
Isogeny class |
Conductor |
8710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
83828663360000 = 29 · 54 · 13 · 674 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22186760,-40218795200] |
[a1,a2,a3,a4,a6] |
j |
1207828796637024651118862169/83828663360000 |
j-invariant |
L |
1.252127596844 |
L(r)(E,1)/r! |
Ω |
0.069562644269112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69680m4 78390by4 43550s4 113230r4 |
Quadratic twists by: -4 -3 5 13 |