Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680ev |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1513308303360000 = -1 · 215 · 34 · 54 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12159,-1795041] |
[a1,a2,a3,a4,a6] |
Generators |
[189:2700:1] |
Generators of the group modulo torsion |
j |
6066408257272/46182504375 |
j-invariant |
L |
8.470239762417 |
L(r)(E,1)/r! |
Ω |
0.23708838044163 |
Real period |
R |
2.2328803460416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680eb3 63840bj2 |
Quadratic twists by: -4 8 |