Atkin-Lehner |
2- 11- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
92752t |
Isogeny class |
Conductor |
92752 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
106281195536384 = 219 · 113 · 173 · 31 |
Discriminant |
Eigenvalues |
2- 0 1 -3 11- -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14507,-454182] |
[a1,a2,a3,a4,a6] |
Generators |
[533:-11968:1] |
Generators of the group modulo torsion |
j |
82432144309761/25947557504 |
j-invariant |
L |
4.9273691308917 |
L(r)(E,1)/r! |
Ω |
0.44578308156453 |
Real period |
R |
0.30703579955518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999905498 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11594d1 |
Quadratic twists by: -4 |