Atkin-Lehner |
3+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
20667d |
Isogeny class |
Conductor |
20667 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
139440 |
Modular degree for the optimal curve |
Δ |
-20270630089251369 = -1 · 32 · 838 |
Discriminant |
Eigenvalues |
1 3+ 2 2 0 5 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-131034,-19554255] |
[a1,a2,a3,a4,a6] |
j |
-110473/9 |
j-invariant |
L |
2.9971826073943 |
L(r)(E,1)/r! |
Ω |
0.12488260864143 |
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 |
62001j1 20667f1 |
Quadratic twists by: -3 -83 |