Atkin-Lehner |
2+ 3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105336q |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
63847200845159424 = 210 · 37 · 7 · 118 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-120531,10564990] |
[a1,a2,a3,a4,a6] |
Generators |
[-217:5148:1] |
Generators of the group modulo torsion |
j |
259413460100932/85529193519 |
j-invariant |
L |
4.8572551471478 |
L(r)(E,1)/r! |
Ω |
0.32203221351827 |
Real period |
R |
3.7707835855762 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001668 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
35112u4 |
Quadratic twists by: -3 |