Atkin-Lehner |
2- 3- 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
91632w |
Isogeny class |
Conductor |
91632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
633360384 = 212 · 34 · 23 · 83 |
Discriminant |
Eigenvalues |
2- 3- -3 0 2 -4 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10437,-413901] |
[a1,a2,a3,a4,a6] |
j |
30699579363328/154629 |
j-invariant |
L |
1.8893494366693 |
L(r)(E,1)/r! |
Ω |
0.47233735960086 |
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 |
5727b1 |
Quadratic twists by: -4 |