Atkin-Lehner |
2- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050bp |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
96346250000 = 24 · 57 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-200755,34671747] |
[a1,a2,a3,a4,a6] |
j |
57266517014673849/6166160 |
j-invariant |
L |
3.2955811151367 |
L(r)(E,1)/r! |
Ω |
0.8238952788527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10010d1 |
Quadratic twists by: 5 |