Atkin-Lehner |
5+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
44275k |
Isogeny class |
Conductor |
44275 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
7743725171875 = 56 · 7 · 11 · 235 |
Discriminant |
Eigenvalues |
-1 3 5+ 7- 11- 1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6330,-138578] |
[a1,a2,a3,a4,a6] |
j |
1794942305577/495598411 |
j-invariant |
L |
2.7319056470454 |
L(r)(E,1)/r! |
Ω |
0.54638112942639 |
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 |
1771a1 |
Quadratic twists by: 5 |