Atkin-Lehner |
2+ 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12090p |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
4758933504000000 = 218 · 3 · 56 · 13 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-45539,1720862] |
[a1,a2,a3,a4,a6] |
j |
10443846301537515049/4758933504000000 |
j-invariant |
L |
1.166107444252 |
L(r)(E,1)/r! |
Ω |
0.38870248141735 |
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 |
96720bp3 36270cc3 60450bx3 |
Quadratic twists by: -4 -3 5 |