Atkin-Lehner |
2- 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450fb |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
-12417640200000000 = -1 · 29 · 36 · 58 · 7 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 -1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35555,5958947] |
[a1,a2,a3,a4,a6] |
j |
-17455277065/43606528 |
j-invariant |
L |
6.3727597451924 |
L(r)(E,1)/r! |
Ω |
0.35404220885342 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
8050m2 72450bc2 |
Quadratic twists by: -3 5 |