Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722ce |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
130487049298200672 = 25 · 312 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-808803,279632821] |
[a1,a2,a3,a4,a6] |
Generators |
[359:5774:1] |
Generators of the group modulo torsion |
j |
512576216027/1143072 |
j-invariant |
L |
3.6472581397508 |
L(r)(E,1)/r! |
Ω |
0.32972762814026 |
Real period |
R |
1.3826783965289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999846592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35574bs2 15246f2 106722ga2 |
Quadratic twists by: -3 -7 -11 |