Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800gi |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-3030489158400000000 = -1 · 214 · 316 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1087633,444186863] |
[a1,a2,a3,a4,a6] |
Generators |
[413:8100:1] |
Generators of the group modulo torsion |
j |
-555816294307024/11837848275 |
j-invariant |
L |
6.9113600375534 |
L(r)(E,1)/r! |
Ω |
0.25314478356624 |
Real period |
R |
0.85318764278192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800bd2 13200j2 10560bt2 |
Quadratic twists by: -4 8 5 |