Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50336w |
Isogeny class |
Conductor |
50336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-284965422556672 = -1 · 29 · 117 · 134 |
Discriminant |
Eigenvalues |
2- 0 2 -4 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7381,774642] |
[a1,a2,a3,a4,a6] |
j |
49027896/314171 |
j-invariant |
L |
0.79521017777841 |
L(r)(E,1)/r! |
Ω |
0.39760508925269 |
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 |
50336v2 100672ck3 4576a4 |
Quadratic twists by: -4 8 -11 |