Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41184s |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
199484283727872 = 212 · 39 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19980,-848448] |
[a1,a2,a3,a4,a6] |
j |
10941048000/2474329 |
j-invariant |
L |
1.6322766627998 |
L(r)(E,1)/r! |
Ω |
0.40806916571317 |
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 |
41184u2 82368de1 41184e2 |
Quadratic twists by: -4 8 -3 |