Atkin-Lehner |
2- 3- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
53820o |
Isogeny class |
Conductor |
53820 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
175392 |
Modular degree for the optimal curve |
Δ |
108985500000000 = 28 · 36 · 59 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -4 13- 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25983,-1531818] |
[a1,a2,a3,a4,a6] |
j |
10394990540496/583984375 |
j-invariant |
L |
0.37735157538084 |
L(r)(E,1)/r! |
Ω |
0.37735157501925 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5980e1 |
Quadratic twists by: -3 |