Atkin-Lehner |
2- 3- 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
89784n |
Isogeny class |
Conductor |
89784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
408658406529024 = 211 · 38 · 294 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-151131,-22593130] |
[a1,a2,a3,a4,a6] |
Generators |
[-13222458730:7034359480:59776471] |
Generators of the group modulo torsion |
j |
255697745865266/273717747 |
j-invariant |
L |
6.3102534785705 |
L(r)(E,1)/r! |
Ω |
0.24215256777973 |
Real period |
R |
13.029499414492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997406 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29928a4 |
Quadratic twists by: -3 |