Atkin-Lehner |
2- 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41328bd |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
65843288211456 = 217 · 36 · 75 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 2 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25203,1489714] |
[a1,a2,a3,a4,a6] |
Generators |
[105:32:1] |
Generators of the group modulo torsion |
j |
592915705201/22050784 |
j-invariant |
L |
5.4827859252765 |
L(r)(E,1)/r! |
Ω |
0.61477718681591 |
Real period |
R |
2.2295825393557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5166p1 4592h1 |
Quadratic twists by: -4 -3 |