Atkin-Lehner |
3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
110019x |
Isogeny class |
Conductor |
110019 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
14338098883017 = 34 · 7 · 138 · 31 |
Discriminant |
Eigenvalues |
1 3- -2 7- 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-129627,17951689] |
[a1,a2,a3,a4,a6] |
j |
49905130150513/2970513 |
j-invariant |
L |
2.6648880494467 |
L(r)(E,1)/r! |
Ω |
0.66622206688369 |
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 |
8463g1 |
Quadratic twists by: 13 |