Atkin-Lehner |
3+ 19+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
109383c |
Isogeny class |
Conductor |
109383 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
837216 |
Modular degree for the optimal curve |
Δ |
-4677731817693507 = -1 · 33 · 198 · 1012 |
Discriminant |
Eigenvalues |
-1 3+ 4 -3 0 -3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-64446,7078206] |
[a1,a2,a3,a4,a6] |
Generators |
[150:827:1] |
Generators of the group modulo torsion |
j |
-1742943169/275427 |
j-invariant |
L |
3.3914030666687 |
L(r)(E,1)/r! |
Ω |
0.41888700890907 |
Real period |
R |
1.3493706572192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000104958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109383m1 |
Quadratic twists by: -19 |