Atkin-Lehner |
2+ 7- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
8554i |
Isogeny class |
Conductor |
8554 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-2.5949054453739E+20 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- -3 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-227195,-776169638] |
[a1,a2,a3,a4,a6] |
j |
-1296932198474723107753/259490544537392378756 |
j-invariant |
L |
0.93503720030337 |
L(r)(E,1)/r! |
Ω |
0.077919766691948 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
68432h1 76986bm1 59878c1 111202o1 |
Quadratic twists by: -4 -3 -7 13 |