Atkin-Lehner |
5- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
44165c |
Isogeny class |
Conductor |
44165 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
41184 |
Modular degree for the optimal curve |
Δ |
78240991565 = 5 · 118 · 73 |
Discriminant |
Eigenvalues |
1 -2 5- 1 11- 2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3633,82883] |
[a1,a2,a3,a4,a6] |
j |
24729001/365 |
j-invariant |
L |
1.0885987608568 |
L(r)(E,1)/r! |
Ω |
1.0885987609844 |
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 |
44165b1 |
Quadratic twists by: -11 |