Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200ds |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
19053144000000000 = 212 · 39 · 59 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4046700,-3133276000] |
[a1,a2,a3,a4,a6] |
Generators |
[-594040:-23625:512] |
Generators of the group modulo torsion |
j |
157079401546816/408375 |
j-invariant |
L |
6.8464838125779 |
L(r)(E,1)/r! |
Ω |
0.10644478033538 |
Real period |
R |
4.0199738922976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200by2 26400k2 15840g2 |
Quadratic twists by: -4 -3 5 |