Atkin-Lehner |
2+ 3+ 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270i |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7869312 |
Modular degree for the optimal curve |
Δ |
-2.6830926058174E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11+ 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1760552,-2650128576] |
[a1,a2,a3,a4,a6] |
j |
-255939019679771/1137893184000 |
j-invariant |
L |
2.8560572783354 |
L(r)(E,1)/r! |
Ω |
0.05950119508945 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105270bn1 |
Quadratic twists by: -11 |