Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44528y |
Isogeny class |
Conductor |
44528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
444275072147456 = 213 · 119 · 23 |
Discriminant |
Eigenvalues |
2- 2 3 5 11- 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22304,791936] |
[a1,a2,a3,a4,a6] |
j |
169112377/61226 |
j-invariant |
L |
7.7419791639723 |
L(r)(E,1)/r! |
Ω |
0.48387369773784 |
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 |
5566f1 4048g1 |
Quadratic twists by: -4 -11 |