Atkin-Lehner |
3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
24909d |
Isogeny class |
Conductor |
24909 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10880 |
Modular degree for the optimal curve |
Δ |
-32655699 = -1 · 32 · 193 · 232 |
Discriminant |
Eigenvalues |
2 3+ 3 1 3 4 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-44,-283] |
[a1,a2,a3,a4,a6] |
j |
-1404928/4761 |
j-invariant |
L |
6.8046010501252 |
L(r)(E,1)/r! |
Ω |
0.85057513126567 |
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 |
74727i1 24909j1 |
Quadratic twists by: -3 -19 |