Atkin-Lehner |
3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83391q |
Isogeny class |
Conductor |
83391 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
206484371709 = 3 · 7 · 11 · 197 |
Discriminant |
Eigenvalues |
0 3- 1 7- 11+ 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1925,-24712] |
[a1,a2,a3,a4,a6] |
j |
16777216/4389 |
j-invariant |
L |
1.4694480323333 |
L(r)(E,1)/r! |
Ω |
0.73472402093716 |
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 |
4389b1 |
Quadratic twists by: -19 |