Atkin-Lehner |
3- 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
105963w |
Isogeny class |
Conductor |
105963 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
69840 |
Modular degree for the optimal curve |
Δ |
-1038543363 = -1 · 35 · 113 · 132 · 19 |
Discriminant |
Eigenvalues |
2 3- 0 4 11- 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,22,-1543] |
[a1,a2,a3,a4,a6] |
j |
6656000/6145227 |
j-invariant |
L |
10.885680426858 |
L(r)(E,1)/r! |
Ω |
0.72571205134397 |
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 |
105963p1 |
Quadratic twists by: 13 |