Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
46400bm |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
11600000000 = 210 · 58 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -2 -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-800,7000] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:125:1] [9:23:1] |
Generators of the group modulo torsion |
j |
3538944/725 |
j-invariant |
L |
9.0406549541831 |
L(r)(E,1)/r! |
Ω |
1.2051950855586 |
Real period |
R |
3.7507018832526 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46400b1 11600y1 9280o1 |
Quadratic twists by: -4 8 5 |