Atkin-Lehner |
3- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
110925t |
Isogeny class |
Conductor |
110925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
-6704208484734375 = -1 · 311 · 56 · 174 · 29 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,11358,-3914609] |
[a1,a2,a3,a4,a6] |
Generators |
[20247001905970:-598742614269689:24162633971] |
Generators of the group modulo torsion |
j |
14225260967/588572487 |
j-invariant |
L |
7.6277573427456 |
L(r)(E,1)/r! |
Ω |
0.20231784759165 |
Real period |
R |
18.850925427861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36975j1 4437j1 |
Quadratic twists by: -3 5 |