Atkin-Lehner |
2- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600bi |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-409301453440000000 = -1 · 213 · 57 · 116 · 192 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 11+ -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-189408,-44268812] |
[a1,a2,a3,a4,a6] |
j |
-11741970526489/6395335210 |
j-invariant |
L |
0.8927199068518 |
L(r)(E,1)/r! |
Ω |
0.11158998576139 |
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 |
10450bb2 16720s2 |
Quadratic twists by: -4 5 |