Atkin-Lehner |
2- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
90200r |
Isogeny class |
Conductor |
90200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
49223042000 = 24 · 53 · 114 · 412 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8270,-289275] |
[a1,a2,a3,a4,a6] |
Generators |
[146:1271:1] |
Generators of the group modulo torsion |
j |
31275930912768/24611521 |
j-invariant |
L |
6.1829852224106 |
L(r)(E,1)/r! |
Ω |
0.50066091956808 |
Real period |
R |
3.0874115495213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90200h1 |
Quadratic twists by: 5 |