Atkin-Lehner |
2- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
116800cx |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
18688000000000 = 217 · 59 · 73 |
Discriminant |
Eigenvalues |
2- -1 5- 1 3 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8833,245537] |
[a1,a2,a3,a4,a6] |
j |
297754/73 |
j-invariant |
L |
2.5827433180262 |
L(r)(E,1)/r! |
Ω |
0.6456855936042 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800bd1 29200f1 116800cp1 |
Quadratic twists by: -4 8 5 |