Atkin-Lehner |
2+ 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129744j |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-75018993841152 = -1 · 210 · 314 · 172 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6045,-375406] |
[a1,a2,a3,a4,a6] |
j |
32725413500/100494837 |
j-invariant |
L |
1.2545989891926 |
L(r)(E,1)/r! |
Ω |
0.31365012459302 |
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 |
64872f2 43248a2 |
Quadratic twists by: -4 -3 |