Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626i |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
58440579889227588 = 22 · 36 · 132 · 179 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-243681,-44754391] |
[a1,a2,a3,a4,a6] |
j |
90942871473/3321188 |
j-invariant |
L |
1.7228935481812 |
L(r)(E,1)/r! |
Ω |
0.21536169605582 |
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 |
7514e1 3978e1 |
Quadratic twists by: -3 17 |