Atkin-Lehner |
2+ 3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950bc |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
62976 |
Modular degree for the optimal curve |
Δ |
3629062500 = 22 · 3 · 57 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-501,3148] |
[a1,a2,a3,a4,a6] |
j |
887503681/232260 |
j-invariant |
L |
2.6233313026935 |
L(r)(E,1)/r! |
Ω |
1.3116656779922 |
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 |
16590p1 |
Quadratic twists by: 5 |