Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912bu |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
474330408910848 = 215 · 34 · 78 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4115736592,-101628053853248] |
[a1,a2,a3,a4,a6] |
j |
15999935809592383211759617/984312 |
j-invariant |
L |
2.4126683542778 |
L(r)(E,1)/r! |
Ω |
0.018848971668577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
64 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114y5 10416bl5 |
Quadratic twists by: -4 -7 |