Atkin-Lehner |
2- 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200ce |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
149769000000000 = 29 · 34 · 59 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-106208,-13274088] |
[a1,a2,a3,a4,a6] |
j |
132495001192/149769 |
j-invariant |
L |
0.52895583111851 |
L(r)(E,1)/r! |
Ω |
0.26447789658928 |
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 |
103200cu2 103200bi2 |
Quadratic twists by: -4 5 |