Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11466l |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-120789168095232 = -1 · 216 · 310 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 1 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33525,-2412747] |
[a1,a2,a3,a4,a6] |
j |
-2380771254001/69009408 |
j-invariant |
L |
2.1133244518859 |
L(r)(E,1)/r! |
Ω |
0.17611037099049 |
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 |
91728dm1 3822bb1 11466bg1 |
Quadratic twists by: -4 -3 -7 |