Atkin-Lehner |
2+ 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22506f |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
115987641792 = 26 · 3 · 117 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42251266,-105725569484] |
[a1,a2,a3,a4,a6] |
j |
4708545773991716929537/65472 |
j-invariant |
L |
0.23686430213085 |
L(r)(E,1)/r! |
Ω |
0.059216075532721 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67518bn4 2046g4 |
Quadratic twists by: -3 -11 |