Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240kf |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-13434624000000 = -1 · 214 · 32 · 56 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5775,52623] |
[a1,a2,a3,a4,a6] |
Generators |
[41:600:1] |
Generators of the group modulo torsion |
j |
1299823947056/819984375 |
j-invariant |
L |
9.5054230646876 |
L(r)(E,1)/r! |
Ω |
0.43916194723971 |
Real period |
R |
1.8037049733964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000456 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240co1 28560d1 |
Quadratic twists by: -4 8 |