Atkin-Lehner |
2- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53290v |
Isogeny class |
Conductor |
53290 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
840960 |
Modular degree for the optimal curve |
Δ |
-645168073515264800 = -1 · 25 · 52 · 738 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 5 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,186404,-23028771] |
[a1,a2,a3,a4,a6] |
j |
888191/800 |
j-invariant |
L |
4.7425290210175 |
L(r)(E,1)/r! |
Ω |
0.15808430071888 |
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 |
53290z1 |
Quadratic twists by: 73 |