Atkin-Lehner |
3- 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108489f |
Isogeny class |
Conductor |
108489 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24720 |
Modular degree for the optimal curve |
Δ |
-2929203 = -1 · 34 · 292 · 43 |
Discriminant |
Eigenvalues |
2 3- 0 4 1 2 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-48,137] |
[a1,a2,a3,a4,a6] |
j |
-14848000/3483 |
j-invariant |
L |
9.6899943940673 |
L(r)(E,1)/r! |
Ω |
2.4224984928294 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108489e1 |
Quadratic twists by: 29 |