Atkin-Lehner |
2- 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
11180a |
Isogeny class |
Conductor |
11180 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9792 |
Modular degree for the optimal curve |
Δ |
444444130000 = 24 · 54 · 13 · 434 |
Discriminant |
Eigenvalues |
2- 0 5- 2 6 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2092,-18099] |
[a1,a2,a3,a4,a6] |
j |
63283249299456/27777758125 |
j-invariant |
L |
2.9399126600098 |
L(r)(E,1)/r! |
Ω |
0.73497816500246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44720m1 100620c1 55900b1 |
Quadratic twists by: -4 -3 5 |