Atkin-Lehner |
2+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
109504d |
Isogeny class |
Conductor |
109504 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
58789512347648 = 235 · 29 · 59 |
Discriminant |
Eigenvalues |
2+ 2 0 -2 -5 5 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-908513,-333004447] |
[a1,a2,a3,a4,a6] |
j |
316357187835741625/224264192 |
j-invariant |
L |
2.7834877307703 |
L(r)(E,1)/r! |
Ω |
0.15463818610337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109504o1 3422c1 |
Quadratic twists by: -4 8 |