Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8410g |
Isogeny class |
Conductor |
8410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-125061603240250000 = -1 · 24 · 56 · 298 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -2 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,8252,-17014153] |
[a1,a2,a3,a4,a6] |
j |
104487111/210250000 |
j-invariant |
L |
1.226981267908 |
L(r)(E,1)/r! |
Ω |
0.1533726584885 |
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 |
67280k2 75690q2 42050c2 290a2 |
Quadratic twists by: -4 -3 5 29 |