Atkin-Lehner |
2+ 11- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128986f |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
960000 |
Modular degree for the optimal curve |
Δ |
-9492910638919136 = -1 · 25 · 117 · 135 · 41 |
Discriminant |
Eigenvalues |
2+ -1 1 2 11- 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-225667,-41621587] |
[a1,a2,a3,a4,a6] |
j |
-717422139167761/5358500576 |
j-invariant |
L |
1.7515752246578 |
L(r)(E,1)/r! |
Ω |
0.10947339352511 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11726l1 |
Quadratic twists by: -11 |