Atkin-Lehner |
2- 5+ 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
82150g |
Isogeny class |
Conductor |
82150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-2939855943312500 = -1 · 22 · 56 · 316 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 2 -5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-41338,-4159208] |
[a1,a2,a3,a4,a6] |
j |
-499980107400409/188150780372 |
j-invariant |
L |
5.2585918312577 |
L(r)(E,1)/r! |
Ω |
0.16433099453409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3286a1 |
Quadratic twists by: 5 |