Atkin-Lehner |
2- 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10032f |
Isogeny class |
Conductor |
10032 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-8344055808 = -1 · 212 · 33 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-481013,128565885] |
[a1,a2,a3,a4,a6] |
j |
-3004935183806464000/2037123 |
j-invariant |
L |
0.80843384497942 |
L(r)(E,1)/r! |
Ω |
0.80843384497942 |
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 |
627b2 40128cc2 30096bd2 110352bg2 |
Quadratic twists by: -4 8 -3 -11 |