Atkin-Lehner |
2- 3- 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82992cu |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
21235909968 = 24 · 310 · 7 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1097,11742] |
[a1,a2,a3,a4,a6] |
j |
9133125910528/1327244373 |
j-invariant |
L |
5.8096987265406 |
L(r)(E,1)/r! |
Ω |
1.1619397457323 |
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 |
20748d1 |
Quadratic twists by: -4 |