Atkin-Lehner |
2+ 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880f |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26019840 |
Modular degree for the optimal curve |
Δ |
5.3222277096864E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3452410401,-78077320069599] |
[a1,a2,a3,a4,a6] |
j |
69440210808984840670969773604/81210749964697265625 |
j-invariant |
L |
0.98477946900753 |
L(r)(E,1)/r! |
Ω |
0.019695589365934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50880dq1 6360h1 |
Quadratic twists by: -4 8 |