Atkin-Lehner |
7- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
40033a |
Isogeny class |
Conductor |
40033 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-549705893527 = -1 · 77 · 192 · 432 |
Discriminant |
Eigenvalues |
-1 0 4 7- 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1877,-17566] |
[a1,a2,a3,a4,a6] |
j |
6219352719/4672423 |
j-invariant |
L |
1.0325105338072 |
L(r)(E,1)/r! |
Ω |
0.51625526687858 |
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 |
5719a1 |
Quadratic twists by: -7 |