Atkin-Lehner |
2- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
128744g |
Isogeny class |
Conductor |
128744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-3882797307913216 = -1 · 210 · 72 · 118 · 192 |
Discriminant |
Eigenvalues |
2- 2 1 7+ 11- -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4880,-2999236] |
[a1,a2,a3,a4,a6] |
j |
-58564/17689 |
j-invariant |
L |
1.5790643188984 |
L(r)(E,1)/r! |
Ω |
0.19738315858108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128744d1 |
Quadratic twists by: -11 |