Atkin-Lehner |
2- 3+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106782k |
Isogeny class |
Conductor |
106782 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-11676053016576 = -1 · 212 · 32 · 132 · 374 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 0 13+ 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-77377,8253887] |
[a1,a2,a3,a4,a6] |
Generators |
[89:1398:1] [-145:4128:1] |
Generators of the group modulo torsion |
j |
-27337124421793/6230016 |
j-invariant |
L |
11.949079736258 |
L(r)(E,1)/r! |
Ω |
0.69678270322817 |
Real period |
R |
0.11908981093631 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999455 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106782e1 |
Quadratic twists by: 37 |