Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400b |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
68558400000000 = 212 · 34 · 58 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14633,-547863] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:225:1] |
Generators of the group modulo torsion |
j |
5414689216/1071225 |
j-invariant |
L |
3.442592296337 |
L(r)(E,1)/r! |
Ω |
0.44007045713569 |
Real period |
R |
1.9557051983965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999233516 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110400dp2 55200cd1 22080bn2 |
Quadratic twists by: -4 8 5 |