Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680gg |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
83839795200 = 214 · 34 · 52 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3505,-79825] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:24:1] |
Generators of the group modulo torsion |
j |
290731267024/5117175 |
j-invariant |
L |
10.764278402291 |
L(r)(E,1)/r! |
Ω |
0.62112793732943 |
Real period |
R |
1.0831382153385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999198432 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680y2 31920ba2 |
Quadratic twists by: -4 8 |