Atkin-Lehner |
2+ 7- 13+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
128674c |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2918400 |
Modular degree for the optimal curve |
Δ |
-5840811355944061952 = -1 · 210 · 711 · 134 · 101 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-601305,-213894852] |
[a1,a2,a3,a4,a6] |
j |
-204370816103298937/49646077365248 |
j-invariant |
L |
1.3541986289678 |
L(r)(E,1)/r! |
Ω |
0.084637321131665 |
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 |
18382e1 |
Quadratic twists by: -7 |