Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640bm |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
571434716160 = 210 · 32 · 5 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-813160,-282507040] |
[a1,a2,a3,a4,a6] |
Generators |
[75556:1286835:64] |
Generators of the group modulo torsion |
j |
32779037733124/315 |
j-invariant |
L |
9.9384211514866 |
L(r)(E,1)/r! |
Ω |
0.15898476476424 |
Real period |
R |
7.8139729105043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999964104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
840j4 |
Quadratic twists by: -11 |