Atkin-Lehner |
3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
67725o |
Isogeny class |
Conductor |
67725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
99514480078125 = 39 · 58 · 7 · 432 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-225792,41349991] |
[a1,a2,a3,a4,a6] |
j |
111764245610809/8736525 |
j-invariant |
L |
2.2816696017045 |
L(r)(E,1)/r! |
Ω |
0.57041740226766 |
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 |
22575b2 13545o2 |
Quadratic twists by: -3 5 |