Atkin-Lehner |
2- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45632o |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-186908672 = -1 · 218 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 1 0 3 -4 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33,-673] |
[a1,a2,a3,a4,a6] |
j |
-15625/713 |
j-invariant |
L |
1.5725837673899 |
L(r)(E,1)/r! |
Ω |
0.78629188381719 |
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 |
45632k1 11408d1 |
Quadratic twists by: -4 8 |