Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16720bi |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1402575257600 = 228 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11- 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3107,34594] |
[a1,a2,a3,a4,a6] |
j |
809818183161/342425600 |
j-invariant |
L |
1.5428081136274 |
L(r)(E,1)/r! |
Ω |
0.77140405681368 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2090h1 66880cf1 83600bp1 |
Quadratic twists by: -4 8 5 |