Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722hi |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
38288858601390012 = 22 · 38 · 77 · 116 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-71718296,-233754372673] |
[a1,a2,a3,a4,a6] |
Generators |
[-14297163309:7134867689:2924207] |
Generators of the group modulo torsion |
j |
268498407453697/252 |
j-invariant |
L |
8.7909818972699 |
L(r)(E,1)/r! |
Ω |
0.051879055952529 |
Real period |
R |
10.590716398138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996904 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35574bg4 15246bs4 882e4 |
Quadratic twists by: -3 -7 -11 |