Atkin-Lehner |
3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32175a |
Isogeny class |
Conductor |
32175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-2043933465234375 = -1 · 39 · 58 · 112 · 133 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18520,-1951478] |
[a1,a2,a3,a4,a6] |
Generators |
[1982:32755:8] |
Generators of the group modulo torsion |
j |
2284322013/6645925 |
j-invariant |
L |
3.0173046038997 |
L(r)(E,1)/r! |
Ω |
0.23865139861262 |
Real period |
R |
3.1607866342296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32175d1 6435c1 |
Quadratic twists by: -3 5 |