Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400cj |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-3938777280000000 = -1 · 212 · 35 · 57 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 1 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-78722133,268813455363] |
[a1,a2,a3,a4,a6] |
Generators |
[5118:525:1] |
Generators of the group modulo torsion |
j |
-843013059301831868416/61543395 |
j-invariant |
L |
7.752568621976 |
L(r)(E,1)/r! |
Ω |
0.24400340383926 |
Real period |
R |
1.5886189495702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2775a2 8880r2 |
Quadratic twists by: -4 5 |