Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800fg |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-83298456000000000 = -1 · 212 · 39 · 59 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127875,-22418750] |
[a1,a2,a3,a4,a6] |
j |
-39651821/14283 |
j-invariant |
L |
1.9839053707791 |
L(r)(E,1)/r! |
Ω |
0.12399408770504 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5175w1 27600dg1 82800fs1 |
Quadratic twists by: -4 -3 5 |