Atkin-Lehner |
5- 7+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
82775x |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
-282283851416875 = -1 · 54 · 72 · 118 · 43 |
Discriminant |
Eigenvalues |
-2 -2 5- 7+ 11- -2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,16092,195444] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:27:1] [-1:423:1] |
Generators of the group modulo torsion |
j |
737304319078400/451654162267 |
j-invariant |
L |
4.0397205646841 |
L(r)(E,1)/r! |
Ω |
0.33823112117375 |
Real period |
R |
0.2488264379674 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000737 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82775l1 |
Quadratic twists by: 5 |