Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920ik |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1246227333120000 = 223 · 32 · 54 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-675840065,6762379619775] |
[a1,a2,a3,a4,a6] |
j |
130231365028993807856757649/4753980000 |
j-invariant |
L |
5.7077417563133 |
L(r)(E,1)/r! |
Ω |
0.17836693031932 |
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 |
73920z4 18480bv4 |
Quadratic twists by: -4 8 |