Atkin-Lehner |
3- 7+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
36729q |
Isogeny class |
Conductor |
36729 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1686852783 = 310 · 72 · 11 · 53 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 11- 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27972,1807677] |
[a1,a2,a3,a4,a6] |
j |
3320285859906625/2313927 |
j-invariant |
L |
2.4775859170632 |
L(r)(E,1)/r! |
Ω |
1.2387929585282 |
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 |
12243g2 |
Quadratic twists by: -3 |