Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722gi |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.854368110193E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-754152125,7971064671903] |
[a1,a2,a3,a4,a6] |
Generators |
[708689708262450:73107917203973559:25672375000] |
Generators of the group modulo torsion |
j |
312196988566716625/25367712678 |
j-invariant |
L |
11.140041944942 |
L(r)(E,1)/r! |
Ω |
0.074855964139073 |
Real period |
R |
18.602462244965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999742207 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35574j4 15246bf4 9702u4 |
Quadratic twists by: -3 -7 -11 |