Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720cc |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3880584806400 = 216 · 38 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5772,-139664] |
[a1,a2,a3,a4,a6] |
j |
445138564/81225 |
j-invariant |
L |
2.2184661762283 |
L(r)(E,1)/r! |
Ω |
0.55461654371944 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54720ei2 6840m2 18240bh2 |
Quadratic twists by: -4 8 -3 |