Atkin-Lehner |
2+ 3- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105336k |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
106744984448256 = 28 · 37 · 7 · 11 · 195 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 11+ -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-528636,-147938348] |
[a1,a2,a3,a4,a6] |
j |
87544007615362048/571978869 |
j-invariant |
L |
1.4164473109903 |
L(r)(E,1)/r! |
Ω |
0.17705595621623 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35112x1 |
Quadratic twists by: -3 |