Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
82656bk |
Isogeny class |
Conductor |
82656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
56929116335616 = 29 · 318 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29739,-1940290] |
[a1,a2,a3,a4,a6] |
Generators |
[-11893710:9701630:132651] |
Generators of the group modulo torsion |
j |
7793011291976/152523567 |
j-invariant |
L |
8.8987351991258 |
L(r)(E,1)/r! |
Ω |
0.36398576528108 |
Real period |
R |
12.224015397294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82656m3 27552b3 |
Quadratic twists by: -4 -3 |