Atkin-Lehner |
3- 5- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
55845k |
Isogeny class |
Conductor |
55845 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
5088875625 = 38 · 54 · 17 · 73 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2169,-38192] |
[a1,a2,a3,a4,a6] |
j |
1548415333009/6980625 |
j-invariant |
L |
1.3995005967932 |
L(r)(E,1)/r! |
Ω |
0.69975029826319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18615a1 |
Quadratic twists by: -3 |