Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208cz |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11377900126208 = 217 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 2 4 7- 11- 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19521,-1030687] |
[a1,a2,a3,a4,a6] |
j |
3543122/49 |
j-invariant |
L |
6.4677873449366 |
L(r)(E,1)/r! |
Ω |
0.40423670913538 |
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 |
54208t2 13552i2 448e2 |
Quadratic twists by: -4 8 -11 |