Atkin-Lehner |
2- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
83942n |
Isogeny class |
Conductor |
83942 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
20984832 |
Modular degree for the optimal curve |
Δ |
-7.3887221351538E+23 |
Discriminant |
Eigenvalues |
2- 3 0 3 -2 1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15937245,48067015525] |
[a1,a2,a3,a4,a6] |
j |
-41531372728322625/68546011092992 |
j-invariant |
L |
10.649709465649 |
L(r)(E,1)/r! |
Ω |
0.080679617749871 |
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 |
1786e1 |
Quadratic twists by: -47 |