Atkin-Lehner |
5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5225b |
Isogeny class |
Conductor |
5225 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3.4744577642822E+19 |
Discriminant |
Eigenvalues |
-1 0 5+ 0 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24560355,-46841973478] |
[a1,a2,a3,a4,a6] |
j |
104859453317683374662841/2223652969140625 |
j-invariant |
L |
0.81380938652164 |
L(r)(E,1)/r! |
Ω |
0.067817448876803 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83600bq2 47025be2 1045b2 57475i2 |
Quadratic twists by: -4 -3 5 -11 |