Atkin-Lehner |
2- 5- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
9130i |
Isogeny class |
Conductor |
9130 |
Conductor |
∏ cp |
57 |
Product of Tamagawa factors cp |
deg |
82080 |
Modular degree for the optimal curve |
Δ |
-59834368000 = -1 · 219 · 53 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11- 7 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1346182,-600842219] |
[a1,a2,a3,a4,a6] |
j |
-269795528414653840973361/59834368000 |
j-invariant |
L |
3.9945558264171 |
L(r)(E,1)/r! |
Ω |
0.070079926779247 |
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 |
73040o1 82170k1 45650g1 100430n1 |
Quadratic twists by: -4 -3 5 -11 |