Atkin-Lehner |
3+ 11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105963f |
Isogeny class |
Conductor |
105963 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
68352 |
Modular degree for the optimal curve |
Δ |
-706667247 = -1 · 34 · 11 · 133 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 4 0 11+ 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,159,-954] |
[a1,a2,a3,a4,a6] |
j |
202262003/321651 |
j-invariant |
L |
1.6962885460649 |
L(r)(E,1)/r! |
Ω |
0.84814443693773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105963l1 |
Quadratic twists by: 13 |