Atkin-Lehner |
2- 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400cq |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
658636800000000 = 223 · 3 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 2 -1 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-177208,-28627088] |
[a1,a2,a3,a4,a6] |
j |
384641511385/411648 |
j-invariant |
L |
1.3962322896652 |
L(r)(E,1)/r! |
Ω |
0.23270538083439 |
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 |
10050o1 80400cy1 |
Quadratic twists by: -4 5 |