Atkin-Lehner |
2+ 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126cu |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2640632344067718 = 2 · 36 · 78 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11- 13+ 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-40875,2011463] |
[a1,a2,a3,a4,a6] |
j |
88061730849/30788758 |
j-invariant |
L |
3.3454955446116 |
L(r)(E,1)/r! |
Ω |
0.41818691029045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14014e2 18018s2 |
Quadratic twists by: -3 -7 |