Atkin-Lehner |
2- 3+ 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
26544h |
Isogeny class |
Conductor |
26544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
235937083834368 = 214 · 312 · 73 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16808,402288] |
[a1,a2,a3,a4,a6] |
j |
128214670515625/57601827108 |
j-invariant |
L |
1.0001627270464 |
L(r)(E,1)/r! |
Ω |
0.50008136352318 |
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 |
3318f1 106176bv1 79632q1 |
Quadratic twists by: -4 8 -3 |