Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
38532k |
Isogeny class |
Conductor |
38532 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-10474021612714608 = -1 · 24 · 32 · 139 · 193 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27322,-4597839] |
[a1,a2,a3,a4,a6] |
Generators |
[589:14703:1] |
Generators of the group modulo torsion |
j |
29205536000/135623007 |
j-invariant |
L |
8.4560774169426 |
L(r)(E,1)/r! |
Ω |
0.20477911823562 |
Real period |
R |
3.4411375737437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115596m2 2964e2 |
Quadratic twists by: -3 13 |