Atkin-Lehner |
2- 3+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440dm |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-7.8470771762591E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 4 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9680148,6874806096] |
[a1,a2,a3,a4,a6] |
j |
19441890357117957/15208161280000 |
j-invariant |
L |
2.7901271420621 |
L(r)(E,1)/r! |
Ω |
0.069753178552041 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440x1 9360y1 37440de1 |
Quadratic twists by: -4 8 -3 |