Atkin-Lehner |
3- 5+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44175j |
Isogeny class |
Conductor |
44175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
414140625 = 32 · 57 · 19 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13813,-626008] |
[a1,a2,a3,a4,a6] |
Generators |
[373:6607:1] |
Generators of the group modulo torsion |
j |
18653901818761/26505 |
j-invariant |
L |
5.3628625396565 |
L(r)(E,1)/r! |
Ω |
0.44037983559995 |
Real period |
R |
6.0889056515893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999915 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8835d1 |
Quadratic twists by: 5 |