Atkin-Lehner |
2+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
44200f |
Isogeny class |
Conductor |
44200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
2714432500000000 = 28 · 510 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 2 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-35833,-742037] |
[a1,a2,a3,a4,a6] |
j |
2035379200/1085773 |
j-invariant |
L |
2.9507192998215 |
L(r)(E,1)/r! |
Ω |
0.36883991248925 |
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 |
88400j1 44200q1 |
Quadratic twists by: -4 5 |