Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126fg |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-7.3402150550672E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-284234,-4122384577] |
[a1,a2,a3,a4,a6] |
Generators |
[2587402930:-224360033997:343000] |
Generators of the group modulo torsion |
j |
-29609739866953/85584085761174 |
j-invariant |
L |
13.31265476758 |
L(r)(E,1)/r! |
Ω |
0.059964693844263 |
Real period |
R |
13.875513479498 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042bq3 18018ba4 |
Quadratic twists by: -3 -7 |