Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550en |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-8022732480000 = -1 · 29 · 36 · 54 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-82805,-9151603] |
[a1,a2,a3,a4,a6] |
Generators |
[495:8176:1] |
Generators of the group modulo torsion |
j |
-137810063865625/17608192 |
j-invariant |
L |
9.7635983865412 |
L(r)(E,1)/r! |
Ω |
0.14071892191945 |
Real period |
R |
3.8546495750972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5950j1 53550bg1 |
Quadratic twists by: -3 5 |