Atkin-Lehner |
2+ 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
39650b |
Isogeny class |
Conductor |
39650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-5750690410156250 = -1 · 2 · 510 · 136 · 61 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 6 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1919075,-1024066625] |
[a1,a2,a3,a4,a6] |
j |
-80038670482290625/588870698 |
j-invariant |
L |
1.1544333275082 |
L(r)(E,1)/r! |
Ω |
0.064135184860114 |
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 |
39650k2 |
Quadratic twists by: 5 |