Atkin-Lehner |
5+ 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
82775b |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
869499640625 = 56 · 76 · 11 · 43 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7+ 11+ 0 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-62888,-6075233] |
[a1,a2,a3,a4,a6] |
Generators |
[3078:39815:8] |
Generators of the group modulo torsion |
j |
1760384222493625/55647977 |
j-invariant |
L |
2.3088686975219 |
L(r)(E,1)/r! |
Ω |
0.30147992365793 |
Real period |
R |
7.6584492503734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009447 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3311c2 |
Quadratic twists by: 5 |