Atkin-Lehner |
2+ 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
107328q |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
38576259072 = 216 · 34 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-620129,-188169345] |
[a1,a2,a3,a4,a6] |
j |
402430238405870692/588627 |
j-invariant |
L |
0.68051711634038 |
L(r)(E,1)/r! |
Ω |
0.17012924943298 |
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 |
107328bp4 13416a3 |
Quadratic twists by: -4 8 |