Atkin-Lehner |
2- 3- 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
82416j |
Isogeny class |
Conductor |
82416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
66511151972352 = 214 · 34 · 173 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133728,-18863244] |
[a1,a2,a3,a4,a6] |
Generators |
[1604:62418:1] |
Generators of the group modulo torsion |
j |
64570486734006625/16238074212 |
j-invariant |
L |
8.9945457127864 |
L(r)(E,1)/r! |
Ω |
0.24966073840389 |
Real period |
R |
4.5033841588744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971302 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10302d1 |
Quadratic twists by: -4 |