Atkin-Lehner |
2+ 3+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
50562d |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
254016 |
Modular degree for the optimal curve |
Δ |
2544571801976832 = 214 · 39 · 534 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -1 5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-80583,-8443459] |
[a1,a2,a3,a4,a6] |
j |
372616659/16384 |
j-invariant |
L |
1.1365210626953 |
L(r)(E,1)/r! |
Ω |
0.28413026563155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50562x1 50562u1 |
Quadratic twists by: -3 53 |