Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800mx |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-13953515625000000 = -1 · 26 · 36 · 514 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32175,-6102000] |
[a1,a2,a3,a4,a6] |
j |
-5053029696/19140625 |
j-invariant |
L |
2.6088248935557 |
L(r)(E,1)/r! |
Ω |
0.16305155699198 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800la1 50400dl2 11200ch1 20160em1 |
Quadratic twists by: -4 8 -3 5 |