Atkin-Lehner |
2+ 3+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
105792h |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
1042307226796032 = 228 · 35 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 0 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25953,-412191] |
[a1,a2,a3,a4,a6] |
j |
7375020369625/3976086528 |
j-invariant |
L |
0.80116934386944 |
L(r)(E,1)/r! |
Ω |
0.40058471665823 |
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 |
105792bx1 3306d1 |
Quadratic twists by: -4 8 |