Atkin-Lehner |
2+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
106742f |
Isogeny class |
Conductor |
106742 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
174960 |
Modular degree for the optimal curve |
Δ |
-865932946864 = -1 · 24 · 193 · 534 |
Discriminant |
Eigenvalues |
2+ 2 -1 3 5 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-58,-44796] |
[a1,a2,a3,a4,a6] |
Generators |
[1380:7366:27] |
Generators of the group modulo torsion |
j |
-2809/109744 |
j-invariant |
L |
9.0062272553173 |
L(r)(E,1)/r! |
Ω |
0.40562729832089 |
Real period |
R |
1.2335115483053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106742j1 |
Quadratic twists by: 53 |