Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
22176h |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
201180672 = 29 · 36 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1035,-12798] |
[a1,a2,a3,a4,a6] |
j |
328509000/539 |
j-invariant |
L |
1.6835935815541 |
L(r)(E,1)/r! |
Ω |
0.84179679077707 |
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 |
22176j2 44352bs2 2464l2 |
Quadratic twists by: -4 8 -3 |