Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720eg |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4538695680 = 216 · 36 · 5 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72972,7587216] |
[a1,a2,a3,a4,a6] |
j |
899466517764/95 |
j-invariant |
L |
4.247898442405 |
L(r)(E,1)/r! |
Ω |
1.0619746105371 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720ce4 13680n4 6080k3 |
Quadratic twists by: -4 8 -3 |