Atkin-Lehner |
3- 5- 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
123165o |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
6.8445513499464E+20 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5117469,4275650600] |
[a1,a2,a3,a4,a6] |
j |
20331147593374993945809/938895932777280625 |
j-invariant |
L |
3.8249271658835 |
L(r)(E,1)/r! |
Ω |
0.15937196935374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13685a2 |
Quadratic twists by: -3 |