Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5355j |
Isogeny class |
Conductor |
5355 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-5.4148666679304E+20 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1043437,1041438242] |
[a1,a2,a3,a4,a6] |
j |
172343644217341694999/742780064187984375 |
j-invariant |
L |
1.1754381870555 |
L(r)(E,1)/r! |
Ω |
0.11754381870555 |
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 |
85680dx1 1785n1 26775u1 37485bm1 |
Quadratic twists by: -4 -3 5 -7 |