Atkin-Lehner |
3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
49419b |
Isogeny class |
Conductor |
49419 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
57170339065449 = 38 · 176 · 192 |
Discriminant |
Eigenvalues |
-1 3- -2 0 0 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16961,-764184] |
[a1,a2,a3,a4,a6] |
j |
30664297/3249 |
j-invariant |
L |
0.84243424224792 |
L(r)(E,1)/r! |
Ω |
0.42121712094063 |
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 |
16473a2 171a2 |
Quadratic twists by: -3 17 |