Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22990u |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2867264392256000000 = 212 · 56 · 119 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-386416,43680000] |
[a1,a2,a3,a4,a6] |
Generators |
[-496:10896:1] |
Generators of the group modulo torsion |
j |
3601910963276569/1618496000000 |
j-invariant |
L |
4.1707458291799 |
L(r)(E,1)/r! |
Ω |
0.22837178190594 |
Real period |
R |
0.76095686938856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114950o3 2090d3 |
Quadratic twists by: 5 -11 |