Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22506q |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
465696 |
Modular degree for the optimal curve |
Δ |
16741888191540864 = 27 · 39 · 118 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 4 11- 3 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1966858,-1061859460] |
[a1,a2,a3,a4,a6] |
j |
3925553794409401/78102144 |
j-invariant |
L |
3.4420772435609 |
L(r)(E,1)/r! |
Ω |
0.1274843423541 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67518ca1 22506bl1 |
Quadratic twists by: -3 -11 |