Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200dj |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9001692000000000 = 211 · 38 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-343875,-77481250] |
[a1,a2,a3,a4,a6] |
j |
4496182/9 |
j-invariant |
L |
3.15479850376 |
L(r)(E,1)/r! |
Ω |
0.1971749001806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400dd2 88200hy2 88200dk2 |
Quadratic twists by: -3 5 -7 |