Atkin-Lehner |
2+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472bc |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
34754875359232 = 234 · 7 · 172 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 4 2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12353,-441791] |
[a1,a2,a3,a4,a6] |
j |
2751936625/458752 |
j-invariant |
L |
1.8319160608594 |
L(r)(E,1)/r! |
Ω |
0.45797921285608 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129472bz1 4046p1 129472s1 |
Quadratic twists by: -4 8 17 |