Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680ek |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
134727992901734400 = 212 · 38 · 52 · 74 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-215283,-34151182] |
[a1,a2,a3,a4,a6] |
j |
369543396484081/45120132225 |
j-invariant |
L |
3.5746027259271 |
L(r)(E,1)/r! |
Ω |
0.22341266783425 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5355d4 28560dc3 |
Quadratic twists by: -4 -3 |