Atkin-Lehner |
2- 3+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
32208m |
Isogeny class |
Conductor |
32208 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-1.8442691767745E+21 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 11- 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-157464,2066382576] |
[a1,a2,a3,a4,a6] |
j |
-105416929096482457/450261029485960704 |
j-invariant |
L |
4.2854736023707 |
L(r)(E,1)/r! |
Ω |
0.11904093339909 |
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 |
4026c2 128832bj2 96624bn2 |
Quadratic twists by: -4 8 -3 |