Atkin-Lehner |
2- 3- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
106128bn |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-6405924306456576 = -1 · 212 · 313 · 114 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 3 11+ 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5619,3854194] |
[a1,a2,a3,a4,a6] |
j |
-6570725617/2145331089 |
j-invariant |
L |
2.7509211799826 |
L(r)(E,1)/r! |
Ω |
0.3438651094891 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6633d1 35376bh1 |
Quadratic twists by: -4 -3 |