Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680gm |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
23728674196684800 = 218 · 34 · 52 · 73 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2931265,-1932623425] |
[a1,a2,a3,a4,a6] |
j |
10625495353235512849/90517708575 |
j-invariant |
L |
5.5383087490366 |
L(r)(E,1)/r! |
Ω |
0.11538145033522 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680t4 31920w4 |
Quadratic twists by: -4 8 |