Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800fb |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
45008572907520000 = 232 · 36 · 54 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -3 -3 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-720675,235260450] |
[a1,a2,a3,a4,a6] |
j |
22180666338225/24117248 |
j-invariant |
L |
1.4324357846887 |
L(r)(E,1)/r! |
Ω |
0.35810895137801 |
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 |
10350x1 9200bh1 82800dz1 |
Quadratic twists by: -4 -3 5 |