Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424by |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-87685406834688 = -1 · 214 · 35 · 132 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 6 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1073,-451089] |
[a1,a2,a3,a4,a6] |
j |
-8346562000/5351892507 |
j-invariant |
L |
5.4437413354944 |
L(r)(E,1)/r! |
Ω |
0.27218706678187 |
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 |
47424ci2 5928j2 |
Quadratic twists by: -4 8 |