Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126fk |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
3422259517911762528 = 25 · 310 · 78 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-730085,-222820419] |
[a1,a2,a3,a4,a6] |
Generators |
[-523:4230:1] |
Generators of the group modulo torsion |
j |
501796540869625/39902230368 |
j-invariant |
L |
10.810005622202 |
L(r)(E,1)/r! |
Ω |
0.16415015400719 |
Real period |
R |
1.6463593473225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005214 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042g2 18018bh2 |
Quadratic twists by: -3 -7 |