Atkin-Lehner |
2+ 3- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
107184y |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-5719445424 = -1 · 24 · 33 · 73 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 11- -5 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-239,3828] |
[a1,a2,a3,a4,a6] |
Generators |
[16:66:1] |
Generators of the group modulo torsion |
j |
-94757435392/357465339 |
j-invariant |
L |
10.201064258056 |
L(r)(E,1)/r! |
Ω |
1.1801110263379 |
Real period |
R |
0.96046181806647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53592c1 |
Quadratic twists by: -4 |