Atkin-Lehner |
3- 5+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40755n |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.2005270226839E+31 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 11+ 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12448819919,-507959927977849] |
[a1,a2,a3,a4,a6] |
j |
213357672928779855054292749281332969/12005270226838729381544630859375 |
j-invariant |
L |
3.4709975370615 |
L(r)(E,1)/r! |
Ω |
0.014342965029173 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
121 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122265bc2 |
Quadratic twists by: -3 |