Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10944l |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-487338737802412032 = -1 · 245 · 36 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 -6 -5 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49260,33849776] |
[a1,a2,a3,a4,a6] |
j |
-69173457625/2550136832 |
j-invariant |
L |
0.49097072625254 |
L(r)(E,1)/r! |
Ω |
0.24548536312627 |
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 |
10944cf3 342a3 1216b3 |
Quadratic twists by: -4 8 -3 |