Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50568v |
Isogeny class |
Conductor |
50568 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
304350720 |
Modular degree for the optimal curve |
Δ |
5.2579723460944E+21 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 6 1 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-775469854784,-262842700513031136] |
[a1,a2,a3,a4,a6] |
j |
73416622245758282538030976581862478/7485041718998289 |
j-invariant |
L |
5.8506775729831 |
L(r)(E,1)/r! |
Ω |
0.0050875457151949 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101136i1 50568m1 |
Quadratic twists by: -4 -7 |