Atkin-Lehner |
2- 3+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116058u |
Isogeny class |
Conductor |
116058 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13304519099358138 = 2 · 36 · 232 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 0 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-189648461,-1005324427879] |
[a1,a2,a3,a4,a6] |
j |
1268188156752269618809/22367178 |
j-invariant |
L |
4.06829170547 |
L(r)(E,1)/r! |
Ω |
0.040682930051529 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4002e2 |
Quadratic twists by: 29 |