Atkin-Lehner |
2- 5+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
44720k |
Isogeny class |
Conductor |
44720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
913896431718400000 = 215 · 55 · 136 · 432 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 -2 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2101843,-1171964142] |
[a1,a2,a3,a4,a6] |
j |
250705915969015550889/223119246025000 |
j-invariant |
L |
0.75235695523623 |
L(r)(E,1)/r! |
Ω |
0.12539282591565 |
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 |
5590a2 |
Quadratic twists by: -4 |