Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
52800gu |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.2725145195688E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8328033,55053612063] |
[a1,a2,a3,a4,a6] |
j |
-15595206456730321/310672490129100 |
j-invariant |
L |
3.4751727816432 |
L(r)(E,1)/r! |
Ω |
0.072399432950394 |
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 |
52800f5 13200bi6 10560bo6 |
Quadratic twists by: -4 8 5 |