Atkin-Lehner |
5+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
32825d |
Isogeny class |
Conductor |
32825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2604522705078125 = 516 · 132 · 101 |
Discriminant |
Eigenvalues |
1 2 5+ 0 -2 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-34625,-362500] |
[a1,a2,a3,a4,a6] |
j |
293827628762641/166689453125 |
j-invariant |
L |
3.0223873885171 |
L(r)(E,1)/r! |
Ω |
0.37779842356451 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6565d2 |
Quadratic twists by: 5 |