Atkin-Lehner |
2- 7- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
89488l |
Isogeny class |
Conductor |
89488 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-14459044842303488 = -1 · 212 · 76 · 172 · 473 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3509,-5784774] |
[a1,a2,a3,a4,a6] |
j |
1166578233183/3530040244703 |
j-invariant |
L |
2.1994441897666 |
L(r)(E,1)/r! |
Ω |
0.18328700451837 |
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 |
5593a1 |
Quadratic twists by: -4 |