Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200f |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1035000000000 = 29 · 32 · 510 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55408,5038312] |
[a1,a2,a3,a4,a6] |
j |
2351575819592/129375 |
j-invariant |
L |
1.6556906438709 |
L(r)(E,1)/r! |
Ω |
0.82784532175021 |
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 |
55200cd4 110400dp4 11040l3 |
Quadratic twists by: -4 8 5 |