Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20475r |
Isogeny class |
Conductor |
20475 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
21223297265625 = 38 · 58 · 72 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8667,-215384] |
[a1,a2,a3,a4,a6] |
j |
6321363049/1863225 |
j-invariant |
L |
2.024045946961 |
L(r)(E,1)/r! |
Ω |
0.50601148674025 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6825a2 4095n2 |
Quadratic twists by: -3 5 |