Atkin-Lehner |
3+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105963a |
Isogeny class |
Conductor |
105963 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
548352 |
Modular degree for the optimal curve |
Δ |
128534626959453 = 34 · 113 · 137 · 19 |
Discriminant |
Eigenvalues |
2 3+ 2 3 11+ 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-68332,6876339] |
[a1,a2,a3,a4,a6] |
Generators |
[-2182:18149:8] |
Generators of the group modulo torsion |
j |
7310420365312/26629317 |
j-invariant |
L |
14.968096807199 |
L(r)(E,1)/r! |
Ω |
0.58852571084062 |
Real period |
R |
6.3583019850432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8151c1 |
Quadratic twists by: 13 |