Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
44180j |
Isogeny class |
Conductor |
44180 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
794880 |
Modular degree for the optimal curve |
Δ |
16211939854816000 = 28 · 53 · 477 |
Discriminant |
Eigenvalues |
2- 3 5- -3 -5 -5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-227527,-41321554] |
[a1,a2,a3,a4,a6] |
j |
472058064/5875 |
j-invariant |
L |
2.6251217598705 |
L(r)(E,1)/r! |
Ω |
0.2187601466587 |
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 |
940b1 |
Quadratic twists by: -47 |