Atkin-Lehner |
5- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
50215b |
Isogeny class |
Conductor |
50215 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1785600 |
Modular degree for the optimal curve |
Δ |
-2.3220129472293E+20 |
Discriminant |
Eigenvalues |
-1 0 5- 5 11- 3 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1138103,564612546] |
[a1,a2,a3,a4,a6] |
j |
92026448780575239/131071577395825 |
j-invariant |
L |
2.3875799851466 |
L(r)(E,1)/r! |
Ω |
0.11937899920534 |
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 |
4565a1 |
Quadratic twists by: -11 |