Atkin-Lehner |
2- 3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770bn |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
706998663360 = 26 · 38 · 5 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3179543,-2181407889] |
[a1,a2,a3,a4,a6] |
j |
4876297165069215549481/969819840 |
j-invariant |
L |
5.4268726092788 |
L(r)(E,1)/r! |
Ω |
0.11305984602664 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7590g3 113850be4 |
Quadratic twists by: -3 5 |