Atkin-Lehner |
2+ 3+ 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650l |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
6979627861200000000 = 210 · 35 · 58 · 195 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -3 -4 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1270075,535532125] |
[a1,a2,a3,a4,a6] |
Generators |
[486:5533:1] |
Generators of the group modulo torsion |
j |
580032481181709145/17867847324672 |
j-invariant |
L |
2.8529934224755 |
L(r)(E,1)/r! |
Ω |
0.23503231698133 |
Real period |
R |
1.213872824379 |
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 |
82650co1 |
Quadratic twists by: 5 |