Atkin-Lehner |
2+ 5- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
55480d |
Isogeny class |
Conductor |
55480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
2108240 = 24 · 5 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43922,3543001] |
[a1,a2,a3,a4,a6] |
Generators |
[147503771195:9885310968:1214767763] |
Generators of the group modulo torsion |
j |
585666053776152576/131765 |
j-invariant |
L |
5.8715506677564 |
L(r)(E,1)/r! |
Ω |
1.5285567034495 |
Real period |
R |
15.364953500442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999887 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110960g1 |
Quadratic twists by: -4 |