Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200ia |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-43776000000 = -1 · 214 · 32 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 -6 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,267,-9837] |
[a1,a2,a3,a4,a6] |
j |
8192/171 |
j-invariant |
L |
1.1071355914109 |
L(r)(E,1)/r! |
Ω |
0.55356782372996 |
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 |
91200b1 22800bq1 3648bb1 |
Quadratic twists by: -4 8 5 |