Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470du |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-110144350580698980 = -1 · 22 · 39 · 5 · 73 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-641387,-198193121] |
[a1,a2,a3,a4,a6] |
j |
-1817378667/6860 |
j-invariant |
L |
3.0359452430424 |
L(r)(E,1)/r! |
Ω |
0.084331815271737 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470g1 106470c2 |
Quadratic twists by: -3 13 |