Atkin-Lehner |
2+ 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
129344o |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16448 |
Modular degree for the optimal curve |
Δ |
5561792 = 26 · 432 · 47 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48,46] |
[a1,a2,a3,a4,a6] |
j |
195112000/86903 |
j-invariant |
L |
1.0815763304051 |
L(r)(E,1)/r! |
Ω |
2.1631481438226 |
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 |
129344k1 64672g2 |
Quadratic twists by: -4 8 |