Atkin-Lehner |
2- 7- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
50666m |
Isogeny class |
Conductor |
50666 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
2194752 |
Modular degree for the optimal curve |
Δ |
5.7578281871457E+19 |
Discriminant |
Eigenvalues |
2- 1 4 7- 11+ 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1202951,352901513] |
[a1,a2,a3,a4,a6] |
j |
681533404492801/203834785792 |
j-invariant |
L |
8.455941054421 |
L(r)(E,1)/r! |
Ω |
0.18382480552076 |
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 |
50666j1 |
Quadratic twists by: -7 |