Atkin-Lehner |
2- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
43550p |
Isogeny class |
Conductor |
43550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
106323242187500 = 22 · 515 · 13 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -6 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-38188,2813281] |
[a1,a2,a3,a4,a6] |
j |
394171426055161/6804687500 |
j-invariant |
L |
4.7681857348896 |
L(r)(E,1)/r! |
Ω |
0.59602321685263 |
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 |
8710h1 |
Quadratic twists by: 5 |