Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126fo |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.7348966687336E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1157855,408524001] |
[a1,a2,a3,a4,a6] |
Generators |
[717908:75333813:64] |
Generators of the group modulo torsion |
j |
2001566936265625/318878437878 |
j-invariant |
L |
9.908735517237 |
L(r)(E,1)/r! |
Ω |
0.20162757735046 |
Real period |
R |
6.1429688443275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000111687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042j2 18018br2 |
Quadratic twists by: -3 -7 |