Atkin-Lehner |
5- 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82775u |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1814400 |
Modular degree for the optimal curve |
Δ |
133530301953125 = 58 · 75 · 11 · 432 |
Discriminant |
Eigenvalues |
-2 -2 5- 7+ 11- -3 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1762958,-901559256] |
[a1,a2,a3,a4,a6] |
Generators |
[-767:12:1] |
Generators of the group modulo torsion |
j |
1551278672409210880/341837573 |
j-invariant |
L |
1.1178755824632 |
L(r)(E,1)/r! |
Ω |
0.13102043844035 |
Real period |
R |
1.4220117061241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932106 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82775p1 |
Quadratic twists by: 5 |