Atkin-Lehner |
2- 3- 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
117648ca |
Isogeny class |
Conductor |
117648 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-1096106410192896 = -1 · 212 · 311 · 19 · 433 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 -2 2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151824,-22825424] |
[a1,a2,a3,a4,a6] |
j |
-129615674355712/367083819 |
j-invariant |
L |
0.24181953364845 |
L(r)(E,1)/r! |
Ω |
0.12090960040207 |
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 |
7353n1 39216bg1 |
Quadratic twists by: -4 -3 |