Atkin-Lehner |
2+ 3+ 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650l |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
552000 |
Modular degree for the optimal curve |
Δ |
2922838732500 = 22 · 3 · 54 · 19 · 295 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -3 -4 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-170250,-27109200] |
[a1,a2,a3,a4,a6] |
Generators |
[-29870:15834:125] |
Generators of the group modulo torsion |
j |
873190580931396025/4676541972 |
j-invariant |
L |
2.8529934224755 |
L(r)(E,1)/r! |
Ω |
0.23503231698133 |
Real period |
R |
6.0693641218949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934485 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82650co2 |
Quadratic twists by: 5 |