Atkin-Lehner |
2- 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
39882bj |
Isogeny class |
Conductor |
39882 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-130921015652688 = -1 · 24 · 3 · 179 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -3 5 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-50068678,-136384098541] |
[a1,a2,a3,a4,a6] |
j |
-575080389302194842625/5423952 |
j-invariant |
L |
2.0431983268201 |
L(r)(E,1)/r! |
Ω |
0.028377754538296 |
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 |
119646u2 2346k2 |
Quadratic twists by: -3 17 |