Atkin-Lehner |
2+ 3- 23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
91632i |
Isogeny class |
Conductor |
91632 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
34944 |
Modular degree for the optimal curve |
Δ |
-512131248 = -1 · 24 · 36 · 232 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-179,-1488] |
[a1,a2,a3,a4,a6] |
j |
-39864543232/32008203 |
j-invariant |
L |
1.8919788824313 |
L(r)(E,1)/r! |
Ω |
0.63065963155684 |
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 |
45816a1 |
Quadratic twists by: -4 |