Atkin-Lehner |
3- 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54825g |
Isogeny class |
Conductor |
54825 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-163580217451171875 = -1 · 36 · 510 · 172 · 433 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 5 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,116237,-12073108] |
[a1,a2,a3,a4,a6] |
Generators |
[161:3209:1] |
Generators of the group modulo torsion |
j |
17785112349575/16750614267 |
j-invariant |
L |
4.2246098931504 |
L(r)(E,1)/r! |
Ω |
0.17654044231443 |
Real period |
R |
0.66472176729077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996756 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54825e1 |
Quadratic twists by: 5 |