Atkin-Lehner |
2- 3+ 7- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
86814bb |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
Δ |
19392819683328 = 213 · 33 · 74 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1703774,-855558675] |
[a1,a2,a3,a4,a6] |
j |
20257958101088215419939/718252580864 |
j-invariant |
L |
6.8714741150508 |
L(r)(E,1)/r! |
Ω |
0.13214373531856 |
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 |
86814e2 |
Quadratic twists by: -3 |