Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83600bw |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
1931494400000000 = 216 · 58 · 11 · 193 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-631408,-193312812] |
[a1,a2,a3,a4,a6] |
Generators |
[5663:421750:1] |
Generators of the group modulo torsion |
j |
434985385981609/30179600 |
j-invariant |
L |
4.2717273923657 |
L(r)(E,1)/r! |
Ω |
0.16936504634662 |
Real period |
R |
6.3055032415175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10450y1 16720u1 |
Quadratic twists by: -4 5 |