Atkin-Lehner |
2- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
99944h |
Isogeny class |
Conductor |
99944 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2047488 |
Modular degree for the optimal curve |
Δ |
-1.4870489571071E+19 |
Discriminant |
Eigenvalues |
2- -2 0 4 1 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,198607,-182312093] |
[a1,a2,a3,a4,a6] |
j |
128000/2197 |
j-invariant |
L |
1.2974715524001 |
L(r)(E,1)/r! |
Ω |
0.1081226387184 |
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 |
99944c1 |
Quadratic twists by: -31 |