Atkin-Lehner |
2- 3+ 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
105774o |
Isogeny class |
Conductor |
105774 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-53006101524 = -1 · 22 · 32 · 176 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 1 -5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-59251,-5575963] |
[a1,a2,a3,a4,a6] |
j |
-953054410321/2196 |
j-invariant |
L |
1.2240118418088 |
L(r)(E,1)/r! |
Ω |
0.15300144753926 |
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 |
366a1 |
Quadratic twists by: 17 |