Atkin-Lehner |
3+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
105393g |
Isogeny class |
Conductor |
105393 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1950480 |
Modular degree for the optimal curve |
Δ |
-721524291336587331 = -1 · 32 · 193 · 438 |
Discriminant |
Eigenvalues |
0 3+ 1 4 -5 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-742065,249661550] |
[a1,a2,a3,a4,a6] |
j |
-3866361856/61731 |
j-invariant |
L |
1.7158444793822 |
L(r)(E,1)/r! |
Ω |
0.2859740554762 |
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 |
105393n1 |
Quadratic twists by: -43 |