Atkin-Lehner |
2- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
129344be |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10530563489792 = 216 · 434 · 47 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6476,-125936] |
[a1,a2,a3,a4,a6] |
j |
458315243172/160683647 |
j-invariant |
L |
1.0950471640126 |
L(r)(E,1)/r! |
Ω |
0.54752352373872 |
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 |
129344c4 32336d4 |
Quadratic twists by: -4 8 |