Atkin-Lehner |
5+ 37- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
82325d |
Isogeny class |
Conductor |
82325 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
51453125 = 56 · 37 · 89 |
Discriminant |
Eigenvalues |
-2 0 5+ 4 5 -5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3875,-92844] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:0:1] [195:2562:1] |
Generators of the group modulo torsion |
j |
411830784000/3293 |
j-invariant |
L |
6.3949487072319 |
L(r)(E,1)/r! |
Ω |
0.60510652538027 |
Real period |
R |
5.2841511691691 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000175 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3293b1 |
Quadratic twists by: 5 |