Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36784bj |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-137869963264 = -1 · 212 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 2 3 -1 11- 4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1489429,-699148899] |
[a1,a2,a3,a4,a6] |
j |
-50357871050752/19 |
j-invariant |
L |
5.53477030487 |
L(r)(E,1)/r! |
Ω |
0.068330497591127 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
81 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2299d3 304e3 |
Quadratic twists by: -4 -11 |