Atkin-Lehner |
2- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83776t |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-749968113664 = -1 · 214 · 7 · 113 · 173 |
Discriminant |
Eigenvalues |
2- -2 3 7+ 11+ 1 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1009,43119] |
[a1,a2,a3,a4,a6] |
j |
-6940769488/45774421 |
j-invariant |
L |
1.5492484774945 |
L(r)(E,1)/r! |
Ω |
0.77462425137051 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83776p2 20944g2 |
Quadratic twists by: -4 8 |