Atkin-Lehner |
5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88445l |
Isogeny class |
Conductor |
88445 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6303744 |
Modular degree for the optimal curve |
Δ |
5.9967952486421E+20 |
Discriminant |
Eigenvalues |
2 -2 5+ 7- -5 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2128576,-202273879] |
[a1,a2,a3,a4,a6] |
j |
533794816/300125 |
j-invariant |
L |
1.0758656196735 |
L(r)(E,1)/r! |
Ω |
0.13448319861852 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12635d1 88445z1 |
Quadratic twists by: -7 -19 |