Atkin-Lehner |
3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
49419a |
Isogeny class |
Conductor |
49419 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
971895764112633 = 38 · 177 · 192 |
Discriminant |
Eigenvalues |
-1 3- 2 -2 2 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24764,510] |
[a1,a2,a3,a4,a6] |
j |
95443993/55233 |
j-invariant |
L |
1.6713283980317 |
L(r)(E,1)/r! |
Ω |
0.4178320996038 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16473b1 2907a1 |
Quadratic twists by: -3 17 |