Atkin-Lehner |
2- 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36822x |
Isogeny class |
Conductor |
36822 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
12697383693729792 = 214 · 3 · 172 · 197 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-108488,12631104] |
[a1,a2,a3,a4,a6] |
j |
3001563015625/269893632 |
j-invariant |
L |
5.4503301156915 |
L(r)(E,1)/r! |
Ω |
0.38930929397945 |
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 |
110466p1 1938c1 |
Quadratic twists by: -3 -19 |