Atkin-Lehner |
2- 5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73150bk |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
3064320 |
Modular degree for the optimal curve |
Δ |
-7.3785901270812E+20 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11- -2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5398138,-5001638108] |
[a1,a2,a3,a4,a6] |
j |
-1781376104147950825/75556762901312 |
j-invariant |
L |
4.1496469204042 |
L(r)(E,1)/r! |
Ω |
0.049400558864526 |
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 |
73150u1 |
Quadratic twists by: 5 |