Atkin-Lehner |
2- 11+ 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
128656q |
Isogeny class |
Conductor |
128656 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7967143547291303936 = 219 · 114 · 176 · 43 |
Discriminant |
Eigenvalues |
2- 2 2 0 11+ -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-667832,160484720] |
[a1,a2,a3,a4,a6] |
j |
8042037416818844473/1945103405100416 |
j-invariant |
L |
2.6324576082962 |
L(r)(E,1)/r! |
Ω |
0.21937146811981 |
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 |
16082d2 |
Quadratic twists by: -4 |