Atkin-Lehner |
2- 3+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
43824s |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
-30183672017664 = -1 · 28 · 317 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 11- -2 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19381,-1065191] |
[a1,a2,a3,a4,a6] |
j |
-3145101744799744/117904968819 |
j-invariant |
L |
0.40373757300512 |
L(r)(E,1)/r! |
Ω |
0.20186878656339 |
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 |
10956b1 |
Quadratic twists by: -4 |