Atkin-Lehner |
2- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
51442g |
Isogeny class |
Conductor |
51442 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
52004682061328 = 24 · 177 · 892 |
Discriminant |
Eigenvalues |
2- -2 2 2 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34397,2427937] |
[a1,a2,a3,a4,a6] |
j |
186463002097/2154512 |
j-invariant |
L |
5.0740186700314 |
L(r)(E,1)/r! |
Ω |
0.63425233377442 |
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 |
3026e1 |
Quadratic twists by: 17 |