Atkin-Lehner |
2+ 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
73584i |
Isogeny class |
Conductor |
73584 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
412790819911206912 = 211 · 38 · 78 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-529275,-144948022] |
[a1,a2,a3,a4,a6] |
j |
10982731693531250/276485620761 |
j-invariant |
L |
2.8363896667855 |
L(r)(E,1)/r! |
Ω |
0.17727435404266 |
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 |
36792j2 24528d2 |
Quadratic twists by: -4 -3 |