Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576dc |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32514048 |
Modular degree for the optimal curve |
Δ |
2.1838771676972E+24 |
Discriminant |
Eigenvalues |
2- 3 -1 7- -2 0 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60690028,167515728464] |
[a1,a2,a3,a4,a6] |
j |
801581275315909089/70810888830976 |
j-invariant |
L |
5.7748456585034 |
L(r)(E,1)/r! |
Ω |
0.080206193294623 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576bu1 32144bf1 18368u1 |
Quadratic twists by: -4 8 -7 |