Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400eg |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
219189888000000 = 213 · 310 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1114275,-452726750] |
[a1,a2,a3,a4,a6] |
Generators |
[-609:14:1] [1890:64750:1] |
Generators of the group modulo torsion |
j |
3279392280793/4698 |
j-invariant |
L |
10.929536912121 |
L(r)(E,1)/r! |
Ω |
0.14694387738543 |
Real period |
R |
18.594747033993 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994655 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13050l4 34800cs4 4176bf3 |
Quadratic twists by: -4 -3 5 |