Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400bk |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
28802921220000000 = 28 · 310 · 57 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 6 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9143175,10641271750] |
[a1,a2,a3,a4,a6] |
Generators |
[1665:5800:1] |
Generators of the group modulo torsion |
j |
28988603169478864/9877545 |
j-invariant |
L |
6.1814444397052 |
L(r)(E,1)/r! |
Ω |
0.30123125077696 |
Real period |
R |
0.85502478135665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025406 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52200t1 34800z1 20880y1 |
Quadratic twists by: -4 -3 5 |