Atkin-Lehner |
3- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9999h |
Isogeny class |
Conductor |
9999 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
17187719723523261 = 38 · 1110 · 101 |
Discriminant |
Eigenvalues |
2 3- -1 -2 11+ -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-489307503,4166015931765] |
[a1,a2,a3,a4,a6] |
j |
17772225273611950625003524096/23577118962309 |
j-invariant |
L |
2.8001582837257 |
L(r)(E,1)/r! |
Ω |
0.17500989273286 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3333g2 109989s2 |
Quadratic twists by: -3 -11 |