Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106134cy |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
968 |
Product of Tamagawa factors cp |
deg |
5854464 |
Modular degree for the optimal curve |
Δ |
-2.2089566268636E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -5 -6 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2651391,1808827929] |
[a1,a2,a3,a4,a6] |
Generators |
[-1242:-55827:1] |
Generators of the group modulo torsion |
j |
-48534394252061881/5201058594816 |
j-invariant |
L |
9.3933011362956 |
L(r)(E,1)/r! |
Ω |
0.17249289029943 |
Real period |
R |
0.05625636779356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009738 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162v1 106134e1 |
Quadratic twists by: -7 -19 |