Atkin-Lehner |
2- 5- 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
82150m |
Isogeny class |
Conductor |
82150 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
168715562500000 = 25 · 59 · 312 · 532 |
Discriminant |
Eigenvalues |
2- 0 5- 2 2 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17055,-582553] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:146:1] |
Generators of the group modulo torsion |
j |
280882687149/86382368 |
j-invariant |
L |
11.208552505458 |
L(r)(E,1)/r! |
Ω |
0.42779031649959 |
Real period |
R |
2.6201043059323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002222 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82150e2 |
Quadratic twists by: 5 |