Atkin-Lehner |
2- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53824bl |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.9876939215779E+24 |
Discriminant |
Eigenvalues |
2- -1 1 2 5 -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20129055,-89575099007] |
[a1,a2,a3,a4,a6] |
Generators |
[230471715877063375:-46550809007467692032:5711341796875] |
Generators of the group modulo torsion |
j |
237176659/1048576 |
j-invariant |
L |
6.2173444650801 |
L(r)(E,1)/r! |
Ω |
0.039531229647767 |
Real period |
R |
19.65959736289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53824m2 13456m2 53824bj2 |
Quadratic twists by: -4 8 29 |