Atkin-Lehner |
2+ 3- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
79296q |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-60910777073664 = -1 · 216 · 38 · 74 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-257,-375585] |
[a1,a2,a3,a4,a6] |
j |
-28756228/929424699 |
j-invariant |
L |
2.2758703844667 |
L(r)(E,1)/r! |
Ω |
0.28448379701003 |
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 |
79296br3 9912b4 |
Quadratic twists by: -4 8 |