Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67518bn |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
5535984362002845696 = 212 · 38 · 118 · 312 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23766359,44601405423] |
[a1,a2,a3,a4,a6] |
j |
1149550394446181377/4286582784 |
j-invariant |
L |
5.0687631018187 |
L(r)(E,1)/r! |
Ω |
0.21119846253638 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22506f2 6138g2 |
Quadratic twists by: -3 -11 |