Atkin-Lehner |
2- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
13132f |
Isogeny class |
Conductor |
13132 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
43259066704 = 24 · 79 · 67 |
Discriminant |
Eigenvalues |
2- 3 1 7- -6 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1372,-16807] |
[a1,a2,a3,a4,a6] |
j |
442368/67 |
j-invariant |
L |
4.7544833419823 |
L(r)(E,1)/r! |
Ω |
0.79241389033038 |
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 |
52528bh1 118188bg1 13132g1 |
Quadratic twists by: -4 -3 -7 |