Atkin-Lehner |
2- 3- 11+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
32538u |
Isogeny class |
Conductor |
32538 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
Δ |
3.1110055297478E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39433132,-94935088240] |
[a1,a2,a3,a4,a6] |
j |
6781215256628461811940802753/31110055297478359589376 |
j-invariant |
L |
5.4237122313669 |
L(r)(E,1)/r! |
Ω |
0.06026346923738 |
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 |
97614p2 |
Quadratic twists by: -3 |