Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200gs |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3782285936100000000 = 28 · 38 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-400575,27697250] |
[a1,a2,a3,a4,a6] |
j |
20720464/11025 |
j-invariant |
L |
3.4833095735519 |
L(r)(E,1)/r! |
Ω |
0.21770685058382 |
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 |
29400q2 17640s2 12600bv2 |
Quadratic twists by: -3 5 -7 |