Atkin-Lehner |
3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83259c |
Isogeny class |
Conductor |
83259 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
108309851609424993 = 39 · 11 · 298 |
Discriminant |
Eigenvalues |
1 3+ 4 4 11- -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1318425,582796088] |
[a1,a2,a3,a4,a6] |
j |
21647657403/9251 |
j-invariant |
L |
5.9194605936205 |
L(r)(E,1)/r! |
Ω |
0.32885891890617 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83259b2 2871a2 |
Quadratic twists by: -3 29 |