Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720eh |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1552233922560 = 217 · 38 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24952332,-47974982384] |
[a1,a2,a3,a4,a6] |
j |
17981241677724245762/16245 |
j-invariant |
L |
2.1615821626214 |
L(r)(E,1)/r! |
Ω |
0.067549442588909 |
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 |
54720cb6 13680m5 18240ch5 |
Quadratic twists by: -4 8 -3 |