Atkin-Lehner |
2- 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270cb |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
2230272 |
Modular degree for the optimal curve |
Δ |
535419182195370000 = 24 · 33 · 54 · 119 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-519395,-139752975] |
[a1,a2,a3,a4,a6] |
j |
6571778111891/227070000 |
j-invariant |
L |
8.5543508299762 |
L(r)(E,1)/r! |
Ω |
0.1782156452482 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105270bb1 |
Quadratic twists by: -11 |