Atkin-Lehner |
2- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13456i |
Isogeny class |
Conductor |
13456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
27557888 = 215 · 292 |
Discriminant |
Eigenvalues |
2- -2 0 1 -6 -4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2368,43572] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:254:1] [26:16:1] |
Generators of the group modulo torsion |
j |
426477625/8 |
j-invariant |
L |
4.8745411474222 |
L(r)(E,1)/r! |
Ω |
1.9378708923365 |
Real period |
R |
0.62885267108065 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1682f2 53824z2 121104bp2 13456o2 |
Quadratic twists by: -4 8 -3 29 |