Atkin-Lehner |
3- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
17775w |
Isogeny class |
Conductor |
17775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-562412109375 = -1 · 36 · 510 · 79 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1505,-42128] |
[a1,a2,a3,a4,a6] |
j |
-33076161/49375 |
j-invariant |
L |
0.72780307621477 |
L(r)(E,1)/r! |
Ω |
0.36390153810739 |
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 |
1975a1 3555b1 |
Quadratic twists by: -3 5 |