Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126bx |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
220982757449454 = 2 · 38 · 77 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-295038,-61605090] |
[a1,a2,a3,a4,a6] |
Generators |
[681:6936:1] |
Generators of the group modulo torsion |
j |
33116363266897/2576574 |
j-invariant |
L |
3.1608592077844 |
L(r)(E,1)/r! |
Ω |
0.20484813969522 |
Real period |
R |
3.8575639393457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042dl2 18018f2 |
Quadratic twists by: -3 -7 |