Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22320bn |
Isogeny class |
Conductor |
22320 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9927428146790400 = 216 · 38 · 52 · 314 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2767683,-1772233918] |
[a1,a2,a3,a4,a6] |
j |
785209010066844481/3324675600 |
j-invariant |
L |
0.93639818977749 |
L(r)(E,1)/r! |
Ω |
0.11704977372219 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2790g4 89280fq4 7440o4 111600ev4 |
Quadratic twists by: -4 8 -3 5 |