Atkin-Lehner |
2- 23+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
32752g |
Isogeny class |
Conductor |
32752 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-1.9663228031354E+19 |
Discriminant |
Eigenvalues |
2- -3 -2 -5 1 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-684691,-305073710] |
[a1,a2,a3,a4,a6] |
j |
-8666577439441687017/4800592781092286 |
j-invariant |
L |
0.16180249821359 |
L(r)(E,1)/r! |
Ω |
0.080901249108121 |
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 |
4094d1 |
Quadratic twists by: -4 |