Atkin-Lehner |
2- 3- 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19734u |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
88995831807168 = 26 · 35 · 112 · 132 · 234 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11- 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-81368,8915328] |
[a1,a2,a3,a4,a6] |
Generators |
[154:130:1] |
Generators of the group modulo torsion |
j |
59577869610834954625/88995831807168 |
j-invariant |
L |
9.3834688069292 |
L(r)(E,1)/r! |
Ω |
0.60349564187165 |
Real period |
R |
0.12957106558146 |
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 |
59202c2 |
Quadratic twists by: -3 |