Atkin-Lehner |
2+ 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770n |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1224612250884000 = 25 · 314 · 53 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12289728015,524401669291981] |
[a1,a2,a3,a4,a6] |
j |
281593741710042021666079895059441/1679852196000 |
j-invariant |
L |
1.7003737964718 |
L(r)(E,1)/r! |
Ω |
0.10627336227949 |
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 |
7590r5 113850em6 |
Quadratic twists by: -3 5 |