Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800fd |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-19431863815680000 = -1 · 212 · 315 · 54 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -6 5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,67200,153200] |
[a1,a2,a3,a4,a6] |
j |
17983078400/10412307 |
j-invariant |
L |
1.8479742735164 |
L(r)(E,1)/r! |
Ω |
0.23099677852303 |
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 |
5175u1 27600cd1 82800ec1 |
Quadratic twists by: -4 -3 5 |