Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
82368ff |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-14879946571776 = -1 · 217 · 38 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11- 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6036,-43184] |
[a1,a2,a3,a4,a6] |
Generators |
[122:1584:1] |
Generators of the group modulo torsion |
j |
254527054/155727 |
j-invariant |
L |
5.1340749486599 |
L(r)(E,1)/r! |
Ω |
0.40605736973081 |
Real period |
R |
0.52682159124475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82368bl1 20592d1 27456cd1 |
Quadratic twists by: -4 8 -3 |