Atkin-Lehner |
2- 3- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810do |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
129959240601960000 = 26 · 38 · 54 · 72 · 112 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1907483,-1013377269] |
[a1,a2,a3,a4,a6] |
j |
1052877872708255036521/178270563240000 |
j-invariant |
L |
3.0831880251997 |
L(r)(E,1)/r! |
Ω |
0.12846618164495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39270v2 |
Quadratic twists by: -3 |