Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400gw |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
74520000 = 26 · 34 · 54 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 3 7 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108,162] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:18:1] |
Generators of the group modulo torsion |
j |
3515200/1863 |
j-invariant |
L |
5.5063836481259 |
L(r)(E,1)/r! |
Ω |
1.6995988946903 |
Real period |
R |
1.6199068163574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999961792 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400jj1 55200co1 110400ih1 |
Quadratic twists by: -4 8 5 |