Atkin-Lehner |
3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44649n |
Isogeny class |
Conductor |
44649 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-634290286826691 = -1 · 38 · 119 · 41 |
Discriminant |
Eigenvalues |
1 3- 1 -1 11- 6 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36504,-2936169] |
[a1,a2,a3,a4,a6] |
j |
-4165509529/491139 |
j-invariant |
L |
1.3724865092844 |
L(r)(E,1)/r! |
Ω |
0.17156081366246 |
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 |
14883h1 4059d1 |
Quadratic twists by: -3 -11 |