Atkin-Lehner |
2+ 3+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126x |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.5401273001379E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11- 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,520329,121445981] |
[a1,a2,a3,a4,a6] |
Generators |
[430:97623:8] |
Generators of the group modulo torsion |
j |
16153623810383661/15968688406528 |
j-invariant |
L |
4.0130633825463 |
L(r)(E,1)/r! |
Ω |
0.14553845530914 |
Real period |
R |
6.8934760597275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998823174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126dv1 126126h2 |
Quadratic twists by: -3 -7 |