Atkin-Lehner |
2+ 3- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
108936c |
Isogeny class |
Conductor |
108936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
99881644050432 = 211 · 38 · 174 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-308451,65934974] |
[a1,a2,a3,a4,a6] |
j |
2173826001945026/66900321 |
j-invariant |
L |
1.1153543691241 |
L(r)(E,1)/r! |
Ω |
0.55767718168923 |
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 |
36312h4 |
Quadratic twists by: -3 |