Atkin-Lehner |
2- 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
36432bf |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14978917122048 = 214 · 33 · 112 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6843,113130] |
[a1,a2,a3,a4,a6] |
j |
320434759107/135443044 |
j-invariant |
L |
5.0661137680976 |
L(r)(E,1)/r! |
Ω |
0.63326422101078 |
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 |
4554r2 36432r2 |
Quadratic twists by: -4 -3 |