Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680fm |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1.39300875E+25 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-742128961,-7783888217665] |
[a1,a2,a3,a4,a6] |
j |
-344867227952667337693026722/106278133392333984375 |
j-invariant |
L |
0.34709740673913 |
L(r)(E,1)/r! |
Ω |
0.014462443833394 |
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 |
127680k2 31920l2 |
Quadratic twists by: -4 8 |