Atkin-Lehner |
2- 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
53400s |
Isogeny class |
Conductor |
53400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
18247781250000 = 24 · 38 · 59 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93383,10950738] |
[a1,a2,a3,a4,a6] |
j |
360239905232896/72991125 |
j-invariant |
L |
2.6796048698168 |
L(r)(E,1)/r! |
Ω |
0.66990121719571 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106800b1 10680a1 |
Quadratic twists by: -4 5 |