Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
13200y |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-5068800 = -1 · 211 · 32 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88,308] |
[a1,a2,a3,a4,a6] |
Generators |
[2:12:1] |
Generators of the group modulo torsion |
j |
-1488770/99 |
j-invariant |
L |
5.4335828551696 |
L(r)(E,1)/r! |
Ω |
2.3865151771881 |
Real period |
R |
0.28459817200763 |
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 |
6600b1 52800ej1 39600n1 13200o1 |
Quadratic twists by: -4 8 -3 5 |