Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040bx |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-56883870000 = -1 · 24 · 39 · 54 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -6 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,918,-4131] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-135:1] |
Generators of the group modulo torsion |
j |
940032/625 |
j-invariant |
L |
5.0663177709232 |
L(r)(E,1)/r! |
Ω |
0.6345676441493 |
Real period |
R |
0.49899307586127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002735 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104040e1 104040bs1 |
Quadratic twists by: -3 17 |