Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126fn |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
1440 |
Product of Tamagawa factors cp |
Δ |
2.3107939715104E+33 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-136544104850,19282196622760593] |
[a1,a2,a3,a4,a6] |
Generators |
[-216879:196817567:1] |
Generators of the group modulo torsion |
j |
3282666836869681281754155591625/26942969374939856448258048 |
j-invariant |
L |
12.597638707961 |
L(r)(E,1)/r! |
Ω |
0.014637337786658 |
Real period |
R |
2.3906971039023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999428592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042k3 18018bs3 |
Quadratic twists by: -3 -7 |