Atkin-Lehner |
2- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53824bf |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-282621973446656 = -1 · 214 · 297 |
Discriminant |
Eigenvalues |
2- 3 -3 -4 1 3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16251484,25216665104] |
[a1,a2,a3,a4,a6] |
j |
-48707390098512/29 |
j-invariant |
L |
2.6949950167949 |
L(r)(E,1)/r! |
Ω |
0.33687437758335 |
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 |
53824k1 13456k1 1856p1 |
Quadratic twists by: -4 8 29 |