Atkin-Lehner |
2+ 3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105336v |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6905976813169910784 = 210 · 312 · 74 · 114 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-647211,155491670] |
[a1,a2,a3,a4,a6] |
Generators |
[-233:17136:1] |
Generators of the group modulo torsion |
j |
40163716877282212/9251190646929 |
j-invariant |
L |
5.8558802859107 |
L(r)(E,1)/r! |
Ω |
0.22254686173535 |
Real period |
R |
3.2891276572087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999969673 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35112r2 |
Quadratic twists by: -3 |