Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
106848bf |
Isogeny class |
Conductor |
106848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
1090490688 = 26 · 38 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5745,-167596] |
[a1,a2,a3,a4,a6] |
Generators |
[1328:48314:1] |
Generators of the group modulo torsion |
j |
449455096000/23373 |
j-invariant |
L |
6.8556810549702 |
L(r)(E,1)/r! |
Ω |
0.54837595222566 |
Real period |
R |
6.2508950645765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999830367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106848e1 35616d1 |
Quadratic twists by: -4 -3 |