Atkin-Lehner |
3+ 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
44175f |
Isogeny class |
Conductor |
44175 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-36430573763671875 = -1 · 35 · 59 · 195 · 31 |
Discriminant |
Eigenvalues |
2 3+ 5- 2 -3 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6678708,6645577943] |
[a1,a2,a3,a4,a6] |
j |
-16868291847035162624/18652453767 |
j-invariant |
L |
3.0824254374049 |
L(r)(E,1)/r! |
Ω |
0.3082425437655 |
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 |
44175m2 |
Quadratic twists by: 5 |