Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720cd |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-140089111511040 = -1 · 215 · 38 · 5 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12948,51856] |
[a1,a2,a3,a4,a6] |
j |
10049728312/5864445 |
j-invariant |
L |
2.8128082731498 |
L(r)(E,1)/r! |
Ω |
0.35160103426135 |
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 |
54720bo3 27360g2 18240bg4 |
Quadratic twists by: -4 8 -3 |