Atkin-Lehner |
3- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
78897m |
Isogeny class |
Conductor |
78897 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-2279255638319106993 = -1 · 34 · 74 · 134 · 177 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-422524,-128297167] |
[a1,a2,a3,a4,a6] |
j |
-345608484635233/94427721297 |
j-invariant |
L |
1.4770405661716 |
L(r)(E,1)/r! |
Ω |
0.092315032838757 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4641a4 |
Quadratic twists by: 17 |