Atkin-Lehner |
17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
104329b |
Isogeny class |
Conductor |
104329 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-21575890777262491 = -1 · 176 · 197 |
Discriminant |
Eigenvalues |
0 -2 -3 1 -3 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,69553,335205] |
[a1,a2,a3,a4,a6] |
j |
32768/19 |
j-invariant |
L |
0.45927552926542 |
L(r)(E,1)/r! |
Ω |
0.22963756347027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
361b1 5491a1 |
Quadratic twists by: 17 -19 |