Atkin-Lehner |
2+ 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105966n |
Isogeny class |
Conductor |
105966 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20697600 |
Modular degree for the optimal curve |
Δ |
-4.7923384890717E+24 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 1 -5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8314389,-104922170235] |
[a1,a2,a3,a4,a6] |
j |
146588258764583/11051773342848 |
j-invariant |
L |
1.3210375928642 |
L(r)(E,1)/r! |
Ω |
0.036695475649765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35322ba1 3654s1 |
Quadratic twists by: -3 29 |