Atkin-Lehner |
3+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
32175b |
Isogeny class |
Conductor |
32175 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
246393515671875 = 33 · 56 · 112 · 136 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 11+ 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44967,-3580434] |
[a1,a2,a3,a4,a6] |
j |
23835655373139/584043889 |
j-invariant |
L |
3.9400841732699 |
L(r)(E,1)/r! |
Ω |
0.32834034777318 |
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 |
32175f2 1287a2 |
Quadratic twists by: -3 5 |