Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79800k |
Isogeny class |
Conductor |
79800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10514997024000000 = 211 · 3 · 56 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80808,-7364112] |
[a1,a2,a3,a4,a6] |
Generators |
[-854:1911:8] |
Generators of the group modulo torsion |
j |
1823652903746/328593657 |
j-invariant |
L |
8.8388761213382 |
L(r)(E,1)/r! |
Ω |
0.2866699706147 |
Real period |
R |
3.8541166803049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3192j3 |
Quadratic twists by: 5 |