Atkin-Lehner |
2- 3- 5- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
106950cq |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-66415950000000 = -1 · 27 · 34 · 58 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-36513,-2716983] |
[a1,a2,a3,a4,a6] |
Generators |
[402:-7101:1] |
Generators of the group modulo torsion |
j |
-13781832656305/170024832 |
j-invariant |
L |
14.892215288569 |
L(r)(E,1)/r! |
Ω |
0.17255940268658 |
Real period |
R |
0.51370216385775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007709 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106950a1 |
Quadratic twists by: 5 |