Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127072w |
Isogeny class |
Conductor |
127072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
228096 |
Modular degree for the optimal curve |
Δ |
-2119699214336 = -1 · 212 · 11 · 196 |
Discriminant |
Eigenvalues |
2- -1 1 4 11- 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16365,814309] |
[a1,a2,a3,a4,a6] |
j |
-2515456/11 |
j-invariant |
L |
3.3160169755914 |
L(r)(E,1)/r! |
Ω |
0.82900396764116 |
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 |
127072p1 352a1 |
Quadratic twists by: -4 -19 |