Atkin-Lehner |
2- 3+ 11- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
105534bb |
Isogeny class |
Conductor |
105534 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
1536223822848 = 210 · 39 · 11 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 11- 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3998,77869] |
[a1,a2,a3,a4,a6] |
j |
358970654043/78048256 |
j-invariant |
L |
7.9988889987366 |
L(r)(E,1)/r! |
Ω |
0.79988888876653 |
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 |
105534c1 |
Quadratic twists by: -3 |