Atkin-Lehner |
3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
72675u |
Isogeny class |
Conductor |
72675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-24432000732421875 = -1 · 36 · 514 · 172 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 4 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27005,-7705128] |
[a1,a2,a3,a4,a6] |
j |
-191202526081/2144921875 |
j-invariant |
L |
2.5758162844711 |
L(r)(E,1)/r! |
Ω |
0.16098851881309 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8075c2 14535j2 |
Quadratic twists by: -3 5 |