Atkin-Lehner |
2- 3+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
81168bj |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-394801152 = -1 · 212 · 3 · 192 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-997,12493] |
[a1,a2,a3,a4,a6] |
j |
-26784575488/96387 |
j-invariant |
L |
3.3897034677136 |
L(r)(E,1)/r! |
Ω |
1.6948517800505 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5073h1 |
Quadratic twists by: -4 |