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 |
Δ |
2218328831953125 = 36 · 57 · 794 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35255,-1155878] |
[a1,a2,a3,a4,a6] |
j |
425428681761/194750405 |
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 |
1975a3 3555b4 |
Quadratic twists by: -3 5 |