Atkin-Lehner |
2- 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600ka |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-113639424000000000 = -1 · 226 · 3 · 59 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-724833,-238317537] |
[a1,a2,a3,a4,a6] |
Generators |
[131677680403753:895818645819000:131173946441] |
Generators of the group modulo torsion |
j |
-82256120549/221952 |
j-invariant |
L |
6.959246391989 |
L(r)(E,1)/r! |
Ω |
0.081797461872119 |
Real period |
R |
21.269750409769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600cj1 20400cu1 81600hg1 |
Quadratic twists by: -4 8 5 |