Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22990u |
Isogeny class |
Conductor |
22990 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9063781151970248000 = 26 · 53 · 1112 · 192 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5226416,4596184000] |
[a1,a2,a3,a4,a6] |
Generators |
[1396:3900:1] |
Generators of the group modulo torsion |
j |
8912089320684236569/5116268168000 |
j-invariant |
L |
4.1707458291799 |
L(r)(E,1)/r! |
Ω |
0.22837178190594 |
Real period |
R |
1.5219137387771 |
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 |
114950o4 2090d4 |
Quadratic twists by: 5 -11 |