Atkin-Lehner |
2- 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
54782bk |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
116736 |
Modular degree for the optimal curve |
Δ |
-65879434286848 = -1 · 28 · 77 · 132 · 432 |
Discriminant |
Eigenvalues |
2- 0 0 7- 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10030,-547011] |
[a1,a2,a3,a4,a6] |
j |
-948413390625/559965952 |
j-invariant |
L |
3.7158667281011 |
L(r)(E,1)/r! |
Ω |
0.2322416705242 |
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 |
7826h1 |
Quadratic twists by: -7 |