Atkin-Lehner |
2- 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22990be |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
606627838361600 = 216 · 52 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23497,725321] |
[a1,a2,a3,a4,a6] |
j |
809818183161/342425600 |
j-invariant |
L |
3.7213931901221 |
L(r)(E,1)/r! |
Ω |
0.46517414876527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114950g1 2090h1 |
Quadratic twists by: 5 -11 |