Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232cm |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-1625615762044944384 = -1 · 216 · 33 · 114 · 137 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-416472,-120408300] |
[a1,a2,a3,a4,a6] |
j |
-404075127457/82223856 |
j-invariant |
L |
4.461562032933 |
L(r)(E,1)/r! |
Ω |
0.092949207721966 |
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 |
11154d1 6864w1 |
Quadratic twists by: -4 13 |