Atkin-Lehner |
2- 3- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105264bs |
Isogeny class |
Conductor |
105264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-38189469302784 = -1 · 215 · 313 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 2 5 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29451,-1967942] |
[a1,a2,a3,a4,a6] |
j |
-946098541513/12789576 |
j-invariant |
L |
6.5546234675 |
L(r)(E,1)/r! |
Ω |
0.18207288346334 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13158v1 35088t1 |
Quadratic twists by: -4 -3 |