Atkin-Lehner |
2- 3- 37- |
Signs for the Atkin-Lehner involutions |
Class |
5328u |
Isogeny class |
Conductor |
5328 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
110481408 = 212 · 36 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 1 3 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-269760,-53928016] |
[a1,a2,a3,a4,a6] |
j |
727057727488000/37 |
j-invariant |
L |
1.8853747040459 |
L(r)(E,1)/r! |
Ω |
0.20948607822733 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
333a3 21312bq3 592e3 |
Quadratic twists by: -4 8 -3 |