Atkin-Lehner |
2- 3+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22506u |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
742698 = 2 · 32 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3638,-85975] |
[a1,a2,a3,a4,a6] |
j |
4000748046875/558 |
j-invariant |
L |
2.4589135162378 |
L(r)(E,1)/r! |
Ω |
0.61472837905945 |
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 |
67518g2 22506a2 |
Quadratic twists by: -3 -11 |