Atkin-Lehner |
2+ 3+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105792f |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-26238636785664 = -1 · 221 · 33 · 19 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 3 7 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1889,-247839] |
[a1,a2,a3,a4,a6] |
Generators |
[32425:5838656:1] |
Generators of the group modulo torsion |
j |
-2845178713/100092456 |
j-invariant |
L |
9.0843396263499 |
L(r)(E,1)/r! |
Ω |
0.29158955473929 |
Real period |
R |
7.7886360000953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014501 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105792bv1 3306f1 |
Quadratic twists by: -4 8 |