Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32175p |
Isogeny class |
Conductor |
32175 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1237932585847546875 = 37 · 56 · 118 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-677030,207796722] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:16125:1] |
Generators of the group modulo torsion |
j |
3013001140430737/108679952667 |
j-invariant |
L |
2.8242613957463 |
L(r)(E,1)/r! |
Ω |
0.27085650645064 |
Real period |
R |
0.6516968691181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10725a5 1287e5 |
Quadratic twists by: -3 5 |