Atkin-Lehner |
2- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31790p |
Isogeny class |
Conductor |
31790 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-79441567092800000 = -1 · 29 · 55 · 112 · 177 |
Discriminant |
Eigenvalues |
2- 3 5+ 4 11+ -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25053,13652581] |
[a1,a2,a3,a4,a6] |
j |
-72043225281/3291200000 |
j-invariant |
L |
10.24734117749 |
L(r)(E,1)/r! |
Ω |
0.28464836604143 |
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 |
1870i1 |
Quadratic twists by: 17 |