Atkin-Lehner |
2- 5- 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550bz |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3369600 |
Modular degree for the optimal curve |
Δ |
-76774330221875000 = -1 · 23 · 58 · 113 · 13 · 175 |
Discriminant |
Eigenvalues |
2- -3 5- 0 11+ 13+ 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1000680,-385273053] |
[a1,a2,a3,a4,a6] |
Generators |
[3983393717936695:255794842186309837:898352786449] |
Generators of the group modulo torsion |
j |
-283693202705857905/196542285368 |
j-invariant |
L |
5.9787661998916 |
L(r)(E,1)/r! |
Ω |
0.075470589650693 |
Real period |
R |
26.406605220054 |
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 |
121550k1 |
Quadratic twists by: 5 |