Atkin-Lehner |
5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13325c |
Isogeny class |
Conductor |
13325 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48240 |
Modular degree for the optimal curve |
Δ |
36065986328125 = 510 · 133 · 412 |
Discriminant |
Eigenvalues |
0 -3 5+ 2 0 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13750,-549219] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:266:1] |
Generators of the group modulo torsion |
j |
29439590400/3693157 |
j-invariant |
L |
2.4089067380187 |
L(r)(E,1)/r! |
Ω |
0.44451718186885 |
Real period |
R |
0.90319221103787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119925z1 13325h1 |
Quadratic twists by: -3 5 |