Atkin-Lehner |
3+ 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105963h |
Isogeny class |
Conductor |
105963 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
105216 |
Modular degree for the optimal curve |
Δ |
-2679698307 = -1 · 3 · 114 · 132 · 192 |
Discriminant |
Eigenvalues |
2 3+ 2 1 11- 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1122,-14311] |
[a1,a2,a3,a4,a6] |
j |
-925129633792/15856203 |
j-invariant |
L |
3.2960001311849 |
L(r)(E,1)/r! |
Ω |
0.41200003001668 |
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 |
105963b1 |
Quadratic twists by: 13 |