Atkin-Lehner |
2- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53824bl |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1247232 |
Modular degree for the optimal curve |
Δ |
-6.0847380395171E+19 |
Discriminant |
Eigenvalues |
2- -1 1 2 5 -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3284385,2322652993] |
[a1,a2,a3,a4,a6] |
Generators |
[1745799:21852544:1331] |
Generators of the group modulo torsion |
j |
-1030301/16 |
j-invariant |
L |
6.2173444650801 |
L(r)(E,1)/r! |
Ω |
0.19765614823883 |
Real period |
R |
3.931919472613 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999108 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53824m1 13456m1 53824bj1 |
Quadratic twists by: -4 8 29 |