Atkin-Lehner |
2- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
105350cn |
Isogeny class |
Conductor |
105350 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-30366089267500000 = -1 · 25 · 57 · 710 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,48770,-7299603] |
[a1,a2,a3,a4,a6] |
j |
2906631/6880 |
j-invariant |
L |
3.8450047487548 |
L(r)(E,1)/r! |
Ω |
0.19225023906484 |
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 |
21070i1 105350bz1 |
Quadratic twists by: 5 -7 |