Atkin-Lehner |
2- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64600q |
Isogeny class |
Conductor |
64600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-33721603750000 = -1 · 24 · 57 · 175 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -6 -1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4992,-245863] |
[a1,a2,a3,a4,a6] |
j |
55019980544/134886415 |
j-invariant |
L |
1.3535250278266 |
L(r)(E,1)/r! |
Ω |
0.33838125721003 |
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 |
129200h1 12920e1 |
Quadratic twists by: -4 5 |