Atkin-Lehner |
2+ 7+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
96922b |
Isogeny class |
Conductor |
96922 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
82656 |
Modular degree for the optimal curve |
Δ |
45611105512 = 23 · 78 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 5 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,-13674] |
[a1,a2,a3,a4,a6] |
j |
37515625/7912 |
j-invariant |
L |
2.4444000294497 |
L(r)(E,1)/r! |
Ω |
0.81480005387342 |
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 |
96922k1 |
Quadratic twists by: -7 |