Atkin-Lehner |
2- 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40050bf |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
416 |
Product of Tamagawa factors cp |
Δ |
1.9640049237562E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49456130,-133839125503] |
[a1,a2,a3,a4,a6] |
j |
1174455422712147024721/172422928834560 |
j-invariant |
L |
5.9208176827425 |
L(r)(E,1)/r! |
Ω |
0.056930939257679 |
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 |
13350e2 8010e2 |
Quadratic twists by: -3 5 |