Atkin-Lehner |
2- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
83776bl |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-2034515574784 = -1 · 218 · 73 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 0 -1 7- 11- -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9068,-339376] |
[a1,a2,a3,a4,a6] |
Generators |
[202:-2464:1] |
Generators of the group modulo torsion |
j |
-314570740401/7761061 |
j-invariant |
L |
5.0526600757992 |
L(r)(E,1)/r! |
Ω |
0.2442635134347 |
Real period |
R |
0.57459121422101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998481 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83776c1 20944i1 |
Quadratic twists by: -4 8 |