Atkin-Lehner |
3- 5- 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109395u |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13268232388125 = 38 · 54 · 114 · 13 · 17 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11+ 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-96039,11478348] |
[a1,a2,a3,a4,a6] |
j |
134382159391145329/18200593125 |
j-invariant |
L |
2.7304264363931 |
L(r)(E,1)/r! |
Ω |
0.68260662144881 |
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 |
36465q4 |
Quadratic twists by: -3 |