Atkin-Lehner |
2- 3- 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
82128x |
Isogeny class |
Conductor |
82128 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
13242576273408 = 217 · 310 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 0 3 3 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37472,-2798988] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:18:1] |
Generators of the group modulo torsion |
j |
1420679043215713/3233050848 |
j-invariant |
L |
10.350914818798 |
L(r)(E,1)/r! |
Ω |
0.34318733778237 |
Real period |
R |
1.5080560492578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10266d1 |
Quadratic twists by: -4 |