Atkin-Lehner |
2- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53824z |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
440926208 = 219 · 292 |
Discriminant |
Eigenvalues |
2- 2 0 1 6 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-193,-159] |
[a1,a2,a3,a4,a6] |
j |
3625/2 |
j-invariant |
L |
5.4811265952058 |
L(r)(E,1)/r! |
Ω |
1.3702816490351 |
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 |
53824h1 13456i1 53824bo1 |
Quadratic twists by: -4 8 29 |