Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22320bn |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3795764198400000000 = 216 · 314 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-532803,116709698] |
[a1,a2,a3,a4,a6] |
j |
5601911201812801/1271193750000 |
j-invariant |
L |
0.93639818977749 |
L(r)(E,1)/r! |
Ω |
0.23409954744438 |
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 |
2790g3 89280fq3 7440o3 111600ev3 |
Quadratic twists by: -4 8 -3 5 |