Atkin-Lehner |
2+ 3- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12090p |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
86393158323264000 = 29 · 32 · 53 · 132 · 316 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-365539,-83911138] |
[a1,a2,a3,a4,a6] |
j |
5401609226997647595049/86393158323264000 |
j-invariant |
L |
1.166107444252 |
L(r)(E,1)/r! |
Ω |
0.19435124070867 |
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 |
96720bp4 36270cc4 60450bx4 |
Quadratic twists by: -4 -3 5 |