Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722ho |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
2.038674041755E+24 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 11- -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-397273757,-3046901576155] |
[a1,a2,a3,a4,a6] |
Generators |
[-11499:33532:1] |
Generators of the group modulo torsion |
j |
45637459887836881/13417633152 |
j-invariant |
L |
6.3220903882407 |
L(r)(E,1)/r! |
Ω |
0.033816974334794 |
Real period |
R |
3.3383965636833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35574bm2 15246bm2 9702z2 |
Quadratic twists by: -3 -7 -11 |