Atkin-Lehner |
2- 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24528u |
Isogeny class |
Conductor |
24528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
2109800448 = 216 · 32 · 72 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 6 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1128,-14796] |
[a1,a2,a3,a4,a6] |
j |
38786091625/515088 |
j-invariant |
L |
3.2976092258872 |
L(r)(E,1)/r! |
Ω |
0.8244023064718 |
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 |
3066b1 98112bo1 73584bc1 |
Quadratic twists by: -4 8 -3 |