Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450bb |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
16957440 |
Modular degree for the optimal curve |
Δ |
2.533115602315E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -3 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-318787463,-2190918729219] |
[a1,a2,a3,a4,a6] |
Generators |
[-50639005:26421546:4913] |
Generators of the group modulo torsion |
j |
21272583599722441/1504000 |
j-invariant |
L |
8.1921557407566 |
L(r)(E,1)/r! |
Ω |
0.035729278646705 |
Real period |
R |
3.5825641679225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22090a1 2350l1 |
Quadratic twists by: 5 -47 |