Atkin-Lehner |
2+ 3+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13536d |
Isogeny class |
Conductor |
13536 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
178093043712 = 212 · 39 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -4 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1836,22464] |
[a1,a2,a3,a4,a6] |
Generators |
[6:108:1] |
Generators of the group modulo torsion |
j |
8489664/2209 |
j-invariant |
L |
3.2333232182679 |
L(r)(E,1)/r! |
Ω |
0.94853966872884 |
Real period |
R |
0.85218450130846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13536f2 27072bl1 13536w2 |
Quadratic twists by: -4 8 -3 |