Atkin-Lehner |
2+ 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27550m |
Isogeny class |
Conductor |
27550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
554400 |
Modular degree for the optimal curve |
Δ |
-83903398366976000 = -1 · 211 · 53 · 19 · 297 |
Discriminant |
Eigenvalues |
2+ -3 5- 0 -4 4 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,89348,9387856] |
[a1,a2,a3,a4,a6] |
j |
631052470913674419/671227186935808 |
j-invariant |
L |
0.45227207353279 |
L(r)(E,1)/r! |
Ω |
0.22613603676567 |
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 |
27550bc1 |
Quadratic twists by: 5 |