Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
103200f |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1209375000000000 = 29 · 32 · 514 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108408,-13600188] |
[a1,a2,a3,a4,a6] |
j |
17612529277832/151171875 |
j-invariant |
L |
1.0529768914968 |
L(r)(E,1)/r! |
Ω |
0.2632441757029 |
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 |
103200ch3 20640t2 |
Quadratic twists by: -4 5 |