Atkin-Lehner |
2+ 3+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16698i |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
658603085468592 = 24 · 3 · 1110 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- -2 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23960,706512] |
[a1,a2,a3,a4,a6] |
Generators |
[28:228:1] |
Generators of the group modulo torsion |
j |
858729462625/371764272 |
j-invariant |
L |
3.4980997638033 |
L(r)(E,1)/r! |
Ω |
0.46090460227426 |
Real period |
R |
1.8974098688441 |
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 |
50094by2 1518m2 |
Quadratic twists by: -3 -11 |