Atkin-Lehner |
2- 3- 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950cu |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-46659375000 = -1 · 23 · 33 · 58 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 5 -1 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,112,10392] |
[a1,a2,a3,a4,a6] |
j |
397535/119448 |
j-invariant |
L |
7.9090472025957 |
L(r)(E,1)/r! |
Ω |
0.87878302103336 |
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 |
82950j1 |
Quadratic twists by: 5 |