Atkin-Lehner |
2- 3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126ed |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
33409721347002 = 2 · 39 · 73 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8210,-66041] |
[a1,a2,a3,a4,a6] |
Generators |
[-386:3907:8] |
Generators of the group modulo torsion |
j |
9063964125/4948658 |
j-invariant |
L |
12.676086069184 |
L(r)(E,1)/r! |
Ω |
0.53550724041655 |
Real period |
R |
2.9588969973551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999955302 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126l2 126126ea2 |
Quadratic twists by: -3 -7 |