Atkin-Lehner |
2- 5+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36550s |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
49114062500 = 22 · 58 · 17 · 432 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-938,-3008] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:697:8] |
Generators of the group modulo torsion |
j |
5841725401/3143300 |
j-invariant |
L |
6.27078816873 |
L(r)(E,1)/r! |
Ω |
0.91839636042241 |
Real period |
R |
3.4139879244764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7310j1 |
Quadratic twists by: 5 |