Atkin-Lehner |
2+ 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9120d |
Isogeny class |
Conductor |
9120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
10965375000000000 = 29 · 35 · 512 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-940920,351576900] |
[a1,a2,a3,a4,a6] |
j |
179933617934808776648/21416748046875 |
j-invariant |
L |
1.1669403808433 |
L(r)(E,1)/r! |
Ω |
0.38898012694777 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9120r2 18240bf4 27360v4 45600bo4 |
Quadratic twists by: -4 8 -3 5 |