Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33800p |
Isogeny class |
Conductor |
33800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
5098317006250000 = 24 · 58 · 138 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 1 13+ -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1775908,910318813] |
[a1,a2,a3,a4,a6] |
j |
3037375744/25 |
j-invariant |
L |
3.0997495520616 |
L(r)(E,1)/r! |
Ω |
0.38746869400805 |
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 |
67600j1 6760b1 33800f1 |
Quadratic twists by: -4 5 13 |