Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200f |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
1071225000000 = 26 · 34 · 58 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3658,70312] |
[a1,a2,a3,a4,a6] |
j |
5414689216/1071225 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
55200cd1 110400dp2 11040l1 |
Quadratic twists by: -4 8 5 |