Atkin-Lehner |
2- 3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5550bn |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-256430812500000 = -1 · 25 · 34 · 59 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 5 0 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-145763,-21445983] |
[a1,a2,a3,a4,a6] |
j |
-175362106452317/131292576 |
j-invariant |
L |
4.8865034566171 |
L(r)(E,1)/r! |
Ω |
0.12216258641543 |
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 |
44400bt1 16650bf1 5550k1 |
Quadratic twists by: -4 -3 5 |