Atkin-Lehner |
3- 11+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
18447g |
Isogeny class |
Conductor |
18447 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
601920 |
Modular degree for the optimal curve |
Δ |
-11172062895759909 = -1 · 312 · 11 · 13 · 435 |
Discriminant |
Eigenvalues |
-1 3- 3 5 11+ 13- -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5166414,-4520365623] |
[a1,a2,a3,a4,a6] |
j |
-15250754532389928529307617/11172062895759909 |
j-invariant |
L |
3.0041629709431 |
L(r)(E,1)/r! |
Ω |
0.050069382849052 |
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 |
55341j1 |
Quadratic twists by: -3 |