Atkin-Lehner |
3- 7- 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
111069g |
Isogeny class |
Conductor |
111069 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-3481679943 = -1 · 38 · 7 · 41 · 432 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -6 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,355,1100] |
[a1,a2,a3,a4,a6] |
Generators |
[6:55:1] |
Generators of the group modulo torsion |
j |
6804992375/4775967 |
j-invariant |
L |
3.6708550499028 |
L(r)(E,1)/r! |
Ω |
0.89114467940165 |
Real period |
R |
2.0596291255568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999355505 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37023b1 |
Quadratic twists by: -3 |