Atkin-Lehner |
5- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44785g |
Isogeny class |
Conductor |
44785 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
83141785025 = 52 · 137 · 53 |
Discriminant |
Eigenvalues |
-1 -2 5- 2 -2 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-60590,-5745533] |
[a1,a2,a3,a4,a6] |
j |
5096439860329/17225 |
j-invariant |
L |
1.2171927549349 |
L(r)(E,1)/r! |
Ω |
0.30429818871002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3445a1 |
Quadratic twists by: 13 |