Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232m |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-729753247683072 = -1 · 29 · 310 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19941,717298] |
[a1,a2,a3,a4,a6] |
j |
97336/81 |
j-invariant |
L |
1.3122530478822 |
L(r)(E,1)/r! |
Ω |
0.32806324277223 |
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 |
83232bn2 27744bb2 288c4 |
Quadratic twists by: -4 -3 17 |