Atkin-Lehner |
5+ 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
82775p |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
8545939325 = 52 · 75 · 11 · 432 |
Discriminant |
Eigenvalues |
2 2 5+ 7- 11- 3 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-70518,-7184267] |
[a1,a2,a3,a4,a6] |
j |
1551278672409210880/341837573 |
j-invariant |
L |
11.718824203165 |
L(r)(E,1)/r! |
Ω |
0.29297060679444 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82775u1 |
Quadratic twists by: 5 |