Atkin-Lehner |
2- 3- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
33864k |
Isogeny class |
Conductor |
33864 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
754560 |
Modular degree for the optimal curve |
Δ |
-17035177375601712 = -1 · 24 · 312 · 176 · 83 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1193831,501709362] |
[a1,a2,a3,a4,a6] |
j |
-11760685844531533256704/1064698585975107 |
j-invariant |
L |
4.4735336822194 |
L(r)(E,1)/r! |
Ω |
0.3727944735192 |
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 |
67728b1 101592f1 |
Quadratic twists by: -4 -3 |