Atkin-Lehner |
2- 3+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48720bc |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
134262030336000000 = 224 · 3 · 56 · 7 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128056,-512144] |
[a1,a2,a3,a4,a6] |
j |
56697897099098809/32778816000000 |
j-invariant |
L |
0.55217339966152 |
L(r)(E,1)/r! |
Ω |
0.27608669981841 |
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 |
6090i3 |
Quadratic twists by: -4 |