Atkin-Lehner |
2+ 3- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67146d |
Isogeny class |
Conductor |
67146 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
188784 |
Modular degree for the optimal curve |
Δ |
-28430484530634 = -1 · 2 · 33 · 198 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 0 2 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,7573,38792] |
[a1,a2,a3,a4,a6] |
Generators |
[712189953020:11590298309559:2845178713] |
Generators of the group modulo torsion |
j |
2828663/1674 |
j-invariant |
L |
8.1801750765429 |
L(r)(E,1)/r! |
Ω |
0.40470373824017 |
Real period |
R |
20.212748990444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
67146h1 |
Quadratic twists by: -19 |