Atkin-Lehner |
5- 7+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
82775v |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
3485603515625 = 59 · 73 · 112 · 43 |
Discriminant |
Eigenvalues |
1 2 5- 7+ 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-37950,2828375] |
[a1,a2,a3,a4,a6] |
Generators |
[1078:2893:8] [5010:299995:216] |
Generators of the group modulo torsion |
j |
3094901950517/1784629 |
j-invariant |
L |
17.306040815751 |
L(r)(E,1)/r! |
Ω |
0.78208664541324 |
Real period |
R |
22.128035195834 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82775bd1 |
Quadratic twists by: 5 |