Atkin-Lehner |
43- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
97997a |
Isogeny class |
Conductor |
97997 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
162288 |
Modular degree for the optimal curve |
Δ |
-335032241597 = -1 · 436 · 53 |
Discriminant |
Eigenvalues |
1 3 0 4 0 -3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,578,-27475] |
[a1,a2,a3,a4,a6] |
j |
3375/53 |
j-invariant |
L |
8.4577634459152 |
L(r)(E,1)/r! |
Ω |
0.46987574932754 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53a1 |
Quadratic twists by: -43 |