Atkin-Lehner |
3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
49419d |
Isogeny class |
Conductor |
49419 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
165376 |
Modular degree for the optimal curve |
Δ |
-3008965213971 = -1 · 38 · 176 · 19 |
Discriminant |
Eigenvalues |
2 3- -3 5 1 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6069,-200205] |
[a1,a2,a3,a4,a6] |
j |
-1404928/171 |
j-invariant |
L |
4.8351574774348 |
L(r)(E,1)/r! |
Ω |
0.26861985987693 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16473e1 171d1 |
Quadratic twists by: -3 17 |