Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22320bn |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.5280313949253E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2724483,-1830234238] |
[a1,a2,a3,a4,a6] |
j |
-749011598724977281/51173462246460 |
j-invariant |
L |
0.93639818977749 |
L(r)(E,1)/r! |
Ω |
0.058524886861095 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2790g6 89280fq5 7440o6 111600ev5 |
Quadratic twists by: -4 8 -3 5 |