Atkin-Lehner |
2- 3- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
58140k |
Isogeny class |
Conductor |
58140 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
2196492688080 = 24 · 36 · 5 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3252,-3251] |
[a1,a2,a3,a4,a6] |
Generators |
[75:418:1] |
Generators of the group modulo torsion |
j |
326082740224/188313845 |
j-invariant |
L |
6.606972763584 |
L(r)(E,1)/r! |
Ω |
0.69036474086208 |
Real period |
R |
2.3925659772453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6460e1 |
Quadratic twists by: -3 |