Atkin-Lehner |
2+ 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626a |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-135556587504 = -1 · 24 · 33 · 13 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 4 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-921,20957] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:127:1] |
Generators of the group modulo torsion |
j |
-132651/208 |
j-invariant |
L |
6.2415399362756 |
L(r)(E,1)/r! |
Ω |
0.93077851227808 |
Real period |
R |
3.3528599198211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67626q1 234c1 |
Quadratic twists by: -3 17 |