Atkin-Lehner |
2+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
11408a |
Isogeny class |
Conductor |
11408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17766545408 = 211 · 234 · 31 |
Discriminant |
Eigenvalues |
2+ 0 2 -4 4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1499,-21398] |
[a1,a2,a3,a4,a6] |
j |
181885742946/8675071 |
j-invariant |
L |
1.5390803362864 |
L(r)(E,1)/r! |
Ω |
0.76954016814321 |
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 |
5704a3 45632r4 102672q4 |
Quadratic twists by: -4 8 -3 |