Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400bq |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-21025000000 = -1 · 26 · 58 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1175,17000] |
[a1,a2,a3,a4,a6] |
Generators |
[130:375:8] |
Generators of the group modulo torsion |
j |
-179406144/21025 |
j-invariant |
L |
5.1813022179139 |
L(r)(E,1)/r! |
Ω |
1.1775388917434 |
Real period |
R |
2.2000556645051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46400bp1 23200f2 9280p1 |
Quadratic twists by: -4 8 5 |