Atkin-Lehner |
2+ 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
117800k |
Isogeny class |
Conductor |
117800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
149504 |
Modular degree for the optimal curve |
Δ |
666782162000 = 24 · 53 · 192 · 314 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 4 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2203,7152] |
[a1,a2,a3,a4,a6] |
j |
591472191488/333391081 |
j-invariant |
L |
6.2660386467725 |
L(r)(E,1)/r! |
Ω |
0.78325481002948 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117800q1 |
Quadratic twists by: 5 |