Atkin-Lehner |
2- 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50562bm |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10318464 |
Modular degree for the optimal curve |
Δ |
-9.469600180151E+22 |
Discriminant |
Eigenvalues |
2- 3- 4 -1 5 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-51725453,143963661219] |
[a1,a2,a3,a4,a6] |
j |
-6362477477/39366 |
j-invariant |
L |
7.7367808176722 |
L(r)(E,1)/r! |
Ω |
0.10745528915009 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16854c1 50562t1 |
Quadratic twists by: -3 53 |