Atkin-Lehner |
3- 5+ 29+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
95265c |
Isogeny class |
Conductor |
95265 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-10173073974609375 = -1 · 39 · 512 · 29 · 73 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36158,-5518348] |
[a1,a2,a3,a4,a6] |
j |
-7171303860679321/13954833984375 |
j-invariant |
L |
0.32564794900574 |
L(r)(E,1)/r! |
Ω |
0.16282408038055 |
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 |
31755d1 |
Quadratic twists by: -3 |