Atkin-Lehner |
2+ 3- 5+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
82170q |
Isogeny class |
Conductor |
82170 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
5111631360 = 29 · 37 · 5 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-495,2605] |
[a1,a2,a3,a4,a6] |
j |
18420660721/7011840 |
j-invariant |
L |
2.48665408142 |
L(r)(E,1)/r! |
Ω |
1.2433270472496 |
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 |
27390q1 |
Quadratic twists by: -3 |