Atkin-Lehner |
3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
44835t |
Isogeny class |
Conductor |
44835 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
272160 |
Modular degree for the optimal curve |
Δ |
-523391326990875 = -1 · 35 · 53 · 710 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 5 4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-74481,7894620] |
[a1,a2,a3,a4,a6] |
j |
-161763365281/1852875 |
j-invariant |
L |
2.6166059761024 |
L(r)(E,1)/r! |
Ω |
0.52332119522654 |
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 |
44835i1 |
Quadratic twists by: -7 |