Atkin-Lehner |
2- 3- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
82128be |
Isogeny class |
Conductor |
82128 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
794880 |
Modular degree for the optimal curve |
Δ |
104469451350859008 = 28 · 39 · 29 · 595 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -2 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-358253,80936439] |
[a1,a2,a3,a4,a6] |
Generators |
[178:4779:1] |
Generators of the group modulo torsion |
j |
19863440171938816000/408083794339293 |
j-invariant |
L |
9.4291656762698 |
L(r)(E,1)/r! |
Ω |
0.3351427079717 |
Real period |
R |
0.31260864406098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000778 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20532c1 |
Quadratic twists by: -4 |