Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
5418w |
Isogeny class |
Conductor |
5418 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
8638042014 = 2 · 315 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1409,-19501] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:239:8] |
Generators of the group modulo torsion |
j |
424072554697/11849166 |
j-invariant |
L |
5.0282283591511 |
L(r)(E,1)/r! |
Ω |
0.78061556651134 |
Real period |
R |
3.2206815844212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43344ba1 1806g1 37926bz1 |
Quadratic twists by: -4 -3 -7 |