Atkin-Lehner |
2- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53824y |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-282621973446656 = -1 · 214 · 297 |
Discriminant |
Eigenvalues |
2- -1 -3 4 -3 -5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14577,-1050191] |
[a1,a2,a3,a4,a6] |
j |
-35152/29 |
j-invariant |
L |
1.6791341373829 |
L(r)(E,1)/r! |
Ω |
0.20989176719229 |
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 |
53824b1 13456e1 1856j1 |
Quadratic twists by: -4 8 29 |