Atkin-Lehner |
5- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
5135b |
Isogeny class |
Conductor |
5135 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
68557385 = 5 · 133 · 792 |
Discriminant |
Eigenvalues |
1 2 5- 0 0 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-202,951] |
[a1,a2,a3,a4,a6] |
j |
918613512361/68557385 |
j-invariant |
L |
3.8225981799623 |
L(r)(E,1)/r! |
Ω |
1.9112990899811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82160o1 46215c1 25675d1 66755c1 |
Quadratic twists by: -4 -3 5 13 |