Atkin-Lehner |
2- 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
108576t |
Isogeny class |
Conductor |
108576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
110179450368 = 29 · 39 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 4 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3483,-77490] |
[a1,a2,a3,a4,a6] |
j |
463684824/10933 |
j-invariant |
L |
4.9788033245699 |
L(r)(E,1)/r! |
Ω |
0.62235039376145 |
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 |
108576b2 108576d2 |
Quadratic twists by: -4 -3 |