Atkin-Lehner |
2- 3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13530u |
Isogeny class |
Conductor |
13530 |
Conductor |
∏ cp |
378 |
Product of Tamagawa factors cp |
deg |
4687200 |
Modular degree for the optimal curve |
Δ |
-9.8012367005801E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11+ 0 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-801075385,-8726943482503] |
[a1,a2,a3,a4,a6] |
j |
-56851754726231151287910819578641/98012367005801250816000 |
j-invariant |
L |
5.3634343256706 |
L(r)(E,1)/r! |
Ω |
0.014188979697541 |
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 |
108240bg1 40590p1 67650a1 |
Quadratic twists by: -4 -3 5 |