Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694b |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6.6376109811765E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11+ 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9723925,11660430709] |
[a1,a2,a3,a4,a6] |
Generators |
[-2465:144967:1] |
Generators of the group modulo torsion |
j |
8934171875/5832 |
j-invariant |
L |
3.266723963192 |
L(r)(E,1)/r! |
Ω |
0.1937909536848 |
Real period |
R |
4.214236810894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000246868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122694br2 726f2 |
Quadratic twists by: -11 13 |