Atkin-Lehner |
3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42075w |
Isogeny class |
Conductor |
42075 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.8077881371766E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-328213917,-2288588262134] |
[a1,a2,a3,a4,a6] |
j |
343278919869647291747209/334291413963375 |
j-invariant |
L |
0.28375944031868 |
L(r)(E,1)/r! |
Ω |
0.035469930045761 |
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 |
14025h3 8415n3 |
Quadratic twists by: -3 5 |