Atkin-Lehner |
2- 3+ 7+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
92106bd |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
34048 |
Modular degree for the optimal curve |
Δ |
-123790464 = -1 · 27 · 33 · 72 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 1 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-128,803] |
[a1,a2,a3,a4,a6] |
Generators |
[3:19:1] [-66:311:8] |
Generators of the group modulo torsion |
j |
-8527173507/4584832 |
j-invariant |
L |
15.049531665244 |
L(r)(E,1)/r! |
Ω |
1.7277351406649 |
Real period |
R |
0.31109124375295 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92106c1 |
Quadratic twists by: -3 |