Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
44180i |
Isogeny class |
Conductor |
44180 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
110450000 = 24 · 55 · 472 |
Discriminant |
Eigenvalues |
2- -2 5- -4 -3 -4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-125,148] |
[a1,a2,a3,a4,a6] |
Generators |
[11:15:1] [-9:25:1] |
Generators of the group modulo torsion |
j |
6160384/3125 |
j-invariant |
L |
5.937805826163 |
L(r)(E,1)/r! |
Ω |
1.6577660387462 |
Real period |
R |
0.23878744798246 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44180d1 |
Quadratic twists by: -47 |