Atkin-Lehner |
3+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105963i |
Isogeny class |
Conductor |
105963 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1323504 |
Modular degree for the optimal curve |
Δ |
-10458910201108083 = -1 · 3 · 113 · 1310 · 19 |
Discriminant |
Eigenvalues |
2 3+ -4 0 11- 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9520,4936557] |
[a1,a2,a3,a4,a6] |
j |
-692224/75867 |
j-invariant |
L |
1.000204315397 |
L(r)(E,1)/r! |
Ω |
0.3334016452511 |
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 |
105963c1 |
Quadratic twists by: 13 |