Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50880z |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
2916995825664000 = 226 · 38 · 53 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-57955841,169802675295] |
[a1,a2,a3,a4,a6] |
j |
82125009821717833875841/11127456000 |
j-invariant |
L |
2.0642618923358 |
L(r)(E,1)/r! |
Ω |
0.25803273656519 |
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 |
50880cd1 1590q1 |
Quadratic twists by: -4 8 |