Atkin-Lehner |
5+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44275j |
Isogeny class |
Conductor |
44275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
1018325 = 52 · 7 · 11 · 232 |
Discriminant |
Eigenvalues |
0 2 5+ 7- 11- -1 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-63,-167] |
[a1,a2,a3,a4,a6] |
j |
1123778560/40733 |
j-invariant |
L |
3.3922543824507 |
L(r)(E,1)/r! |
Ω |
1.6961271911366 |
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 |
44275n1 |
Quadratic twists by: 5 |