Atkin-Lehner |
2- 5- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
82150n |
Isogeny class |
Conductor |
82150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
334080 |
Modular degree for the optimal curve |
Δ |
-2108944531250 = -1 · 2 · 58 · 312 · 532 |
Discriminant |
Eigenvalues |
2- -3 5- -2 3 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5805,-182553] |
[a1,a2,a3,a4,a6] |
j |
-55373274945/5398898 |
j-invariant |
L |
1.0878973375464 |
L(r)(E,1)/r! |
Ω |
0.27197432448657 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82150d1 |
Quadratic twists by: 5 |