Atkin-Lehner |
2+ 3+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
5406b |
Isogeny class |
Conductor |
5406 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-72065983807327122 = -1 · 2 · 312 · 176 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-44653,-13435385] |
[a1,a2,a3,a4,a6] |
j |
-9846702923472312409/72065983807327122 |
j-invariant |
L |
1.1630015056672 |
L(r)(E,1)/r! |
Ω |
0.1453751882084 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43248bc2 16218u2 91902p2 |
Quadratic twists by: -4 -3 17 |