Atkin-Lehner |
2- 3- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920bu |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
103449415680 = 212 · 36 · 5 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17376,875700] |
[a1,a2,a3,a4,a6] |
Generators |
[-150:360:1] [66:144:1] |
Generators of the group modulo torsion |
j |
141657046142689/25256205 |
j-invariant |
L |
12.054677917845 |
L(r)(E,1)/r! |
Ω |
1.028437365771 |
Real period |
R |
0.97677945865497 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999975649 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7995a2 |
Quadratic twists by: -4 |