Atkin-Lehner |
3- 5- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118755o |
Isogeny class |
Conductor |
118755 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-386556565224375 = -1 · 314 · 54 · 73 · 13 · 29 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18171,72760] |
[a1,a2,a3,a4,a6] |
j |
910163101306031/530255919375 |
j-invariant |
L |
3.8721817282618 |
L(r)(E,1)/r! |
Ω |
0.32268190739564 |
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 |
39585f1 |
Quadratic twists by: -3 |