Atkin-Lehner |
2- 7+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
31388a |
Isogeny class |
Conductor |
31388 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
18821117840396032 = 28 · 75 · 192 · 594 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 0 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-67591,-1476354] |
[a1,a2,a3,a4,a6] |
j |
133398320647422672/73519991564047 |
j-invariant |
L |
0.95043583719187 |
L(r)(E,1)/r! |
Ω |
0.31681194573139 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125552e2 |
Quadratic twists by: -4 |