Atkin-Lehner |
2+ 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296bp |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
262610165256192 = 212 · 310 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 2 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52116996,-144816209696] |
[a1,a2,a3,a4,a6] |
j |
5242933647830934578368/87947613 |
j-invariant |
L |
0.44951576827853 |
L(r)(E,1)/r! |
Ω |
0.05618944091326 |
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 |
127296bt2 63648f1 42432z2 |
Quadratic twists by: -4 8 -3 |