Atkin-Lehner |
2+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
41200f |
Isogeny class |
Conductor |
41200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-659200 = -1 · 28 · 52 · 103 |
Discriminant |
Eigenvalues |
2+ 2 5+ -5 -2 5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12,32] |
[a1,a2,a3,a4,a6] |
Generators |
[8:24:1] |
Generators of the group modulo torsion |
j |
27440/103 |
j-invariant |
L |
6.7934807875328 |
L(r)(E,1)/r! |
Ω |
2.0452216925569 |
Real period |
R |
1.6608177031013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20600s1 41200w1 |
Quadratic twists by: -4 5 |