Atkin-Lehner |
5+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
32065b |
Isogeny class |
Conductor |
32065 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5184000 |
Modular degree for the optimal curve |
Δ |
-2.9534215903092E+19 |
Discriminant |
Eigenvalues |
1 1 5+ 3 11- -1 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-584788284,-5443146163479] |
[a1,a2,a3,a4,a6] |
Generators |
[180066661408648701914957322049951313821359556612163397784396335083077427943635207850303:-3012802180799111633357676511295617213150172807769091959279449112446102529637700560399832:6421603133252810330949586587900319015329076041554578449454309273406317060344822533] |
Generators of the group modulo torsion |
j |
-12484282556165650627532689/16671294921875 |
j-invariant |
L |
8.0331500984518 |
L(r)(E,1)/r! |
Ω |
0.015350406945501 |
Real period |
R |
130.82959505523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2915a1 |
Quadratic twists by: -11 |