Atkin-Lehner |
2- 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
13632r |
Isogeny class |
Conductor |
13632 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
29976838668288 = 217 · 32 · 714 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8257,-121153] |
[a1,a2,a3,a4,a6] |
j |
475043342114/228705129 |
j-invariant |
L |
4.2034493511639 |
L(r)(E,1)/r! |
Ω |
0.52543116889549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13632a3 3408a4 40896bp3 |
Quadratic twists by: -4 8 -3 |