Atkin-Lehner |
2- 5+ 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
72850q |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
175022125000 = 23 · 56 · 313 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-65788,-6522219] |
[a1,a2,a3,a4,a6] |
Generators |
[-18545:9799:125] |
Generators of the group modulo torsion |
j |
2015320626946297/11201416 |
j-invariant |
L |
8.5799057074032 |
L(r)(E,1)/r! |
Ω |
0.29810069886519 |
Real period |
R |
3.1979893371081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000239 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2914b2 |
Quadratic twists by: 5 |