Atkin-Lehner |
2- 3- 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
100650co |
Isogeny class |
Conductor |
100650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1313280 |
Modular degree for the optimal curve |
Δ |
-129577601046093750 = -1 · 2 · 32 · 58 · 113 · 614 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -5 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-390513,-95545233] |
[a1,a2,a3,a4,a6] |
Generators |
[1192215160698:114882194166087:126506008] |
Generators of the group modulo torsion |
j |
-16860491659852465/331718658678 |
j-invariant |
L |
13.729631506898 |
L(r)(E,1)/r! |
Ω |
0.095379332804225 |
Real period |
R |
17.993457155807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100650c1 |
Quadratic twists by: 5 |