Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
46368bm |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-12980072448 = -1 · 212 · 39 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 5 4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-696,-8944] |
[a1,a2,a3,a4,a6] |
j |
-12487168/4347 |
j-invariant |
L |
1.8269458798094 |
L(r)(E,1)/r! |
Ω |
0.45673646991788 |
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 |
46368bp1 92736ep1 15456a1 |
Quadratic twists by: -4 8 -3 |