Atkin-Lehner |
2- 3- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35088y |
Isogeny class |
Conductor |
35088 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
308523104796672 = 216 · 34 · 17 · 434 |
Discriminant |
Eigenvalues |
2- 3- -2 4 0 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39904,2936180] |
[a1,a2,a3,a4,a6] |
j |
1715631229200097/75323023632 |
j-invariant |
L |
4.3124792820358 |
L(r)(E,1)/r! |
Ω |
0.53905991025332 |
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 |
4386n1 105264bf1 |
Quadratic twists by: -4 -3 |