Atkin-Lehner |
2+ 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
32850r |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
354006136125000 = 23 · 312 · 56 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 6 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6998742,-7124780084] |
[a1,a2,a3,a4,a6] |
j |
3328404840479049625/31078728 |
j-invariant |
L |
2.9702604624324 |
L(r)(E,1)/r! |
Ω |
0.092820639451083 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10950t2 1314f2 |
Quadratic twists by: -3 5 |