Atkin-Lehner |
3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
9135m |
Isogeny class |
Conductor |
9135 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
173422265625 = 37 · 58 · 7 · 29 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29349,-1927832] |
[a1,a2,a3,a4,a6] |
j |
3835168345623889/237890625 |
j-invariant |
L |
2.9180460238087 |
L(r)(E,1)/r! |
Ω |
0.36475575297608 |
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 |
3045d4 45675j4 63945k4 |
Quadratic twists by: -3 5 -7 |