Atkin-Lehner |
3- 5- 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
83325t |
Isogeny class |
Conductor |
83325 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
23628086173828125 = 34 · 59 · 114 · 1012 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11+ 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-85826,6234923] |
[a1,a2,a3,a4,a6] |
j |
35796701971493/12097580121 |
j-invariant |
L |
2.7939345003774 |
L(r)(E,1)/r! |
Ω |
0.34924180845269 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83325k2 |
Quadratic twists by: 5 |