Atkin-Lehner |
2- 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23184x |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-960398044894512 = -1 · 24 · 39 · 78 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 0 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16848,-1712205] |
[a1,a2,a3,a4,a6] |
j |
-1679412953088/3049579729 |
j-invariant |
L |
3.5563869562761 |
L(r)(E,1)/r! |
Ω |
0.19757705312645 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5796d1 92736cz1 23184bc1 |
Quadratic twists by: -4 8 -3 |