Atkin-Lehner |
3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
92169bc |
Isogeny class |
Conductor |
92169 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
798336 |
Modular degree for the optimal curve |
Δ |
-170904737520582219 = -1 · 36 · 710 · 112 · 193 |
Discriminant |
Eigenvalues |
0 3- 3 7- 11- -2 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,57624,-19164182] |
[a1,a2,a3,a4,a6] |
j |
102760448/829939 |
j-invariant |
L |
2.554310944225 |
L(r)(E,1)/r! |
Ω |
0.15964443209831 |
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 |
10241c1 92169i1 |
Quadratic twists by: -3 -7 |