Atkin-Lehner |
3- 13+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82251d |
Isogeny class |
Conductor |
82251 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4931850483729 = 310 · 132 · 192 · 372 |
Discriminant |
Eigenvalues |
-1 3- -2 0 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6926,-192684] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:183:1] |
Generators of the group modulo torsion |
j |
50394699308953/6765227001 |
j-invariant |
L |
3.2288743064101 |
L(r)(E,1)/r! |
Ω |
0.52798804453586 |
Real period |
R |
3.057715360589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951711 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27417a2 |
Quadratic twists by: -3 |